In a certain mathematics competition, there are 6 problems, each worth 7 points (the final score for each problem is an integer, with a minimum of 0 points and a maximum of 7 points). Each contestant's total score is the product of the scores of the 6 problems. If two contestants have the same score, the sum of the scores of the 6 problems is used to determine the ranking. If they are still the same, the two contestants are ranked equally. In this competition, there are $8^{6}=262144$ contestants, and there are no ties among these contestants. The score of the contestant ranked $7^{6}=117649$ is $\qquad$ points.
(1) This question is a wrong question.

If two people have exactly the same score for each of the 6 questions,
then the product of the scores of the 6 questions is the same, and the sum of the scores of the 6 questions is also the same, so these two people have the same ranking, i.e., these two people are tied. According to the problem, there are no ties among these $8^{6}=262144$ participants, which means that the scores of each question for these $8^{6}=262144$ participants are not exactly the same. Each question's score is an integer from $0$ to $7$, and by the multiplication principle, there are $8^{6}$ possible score combinations. If participant A's scores for questions 1 to 6 are $0, 0, 0, 0, 0, 0, 1$, and participant B's scores for questions 1 to 6 are $0, 0, 0, 0, 0, 1, 0$, then the product of the scores of the 6 questions for both A and B is 0, and the sum of the scores of the 6 questions is 1. Therefore, A and B have the same ranking, i.e., these two people are tied. This contradicts the statement that "there are no ties among these participants." Hence, this question is a wrong question.
(2) If the original problem statement "there are no ties among these participants" is changed to "among these participants, any two people do not have exactly the same scores for all 6 questions," then the score of the participant ranked $7^{6}=117649$ is 1 point.
The reasoning is as follows:
If at least one of the 6 questions has a score of 0, then the product of the scores of the 6 questions is 0. If none of the 6 questions have a score of 0, then the product of the scores of the 6 questions is not 0. In this case, each question's score is an integer from 1 to 7, and by the multiplication principle, there are $7^{6}$ possible score combinations. Therefore, the score of the participant ranked $7^{6}=117649$ is the smallest positive integer product. The participant whose scores for questions 1 to 6 are $1, 1, 1, 1, 1, 1$ has a score of 1. Hence, the score of the participant ranked $7^{6}=117649$ is 1 point.