1. Find the largest natural number consisting of distinct digits such that the product of the digits of this number is 2016.
Answer: 876321.

Solution: Factorize the number 2016. $2016=2^{5} \cdot 3^{2} \cdot 7$. To make the number as large as possible, it should contain the maximum number of digits. Notice that the number must include the digit 1. Therefore, the number should consist of the digits $1,2,3,6,7,8$.

Grading Criteria. 20 points for the correct answer. 0 points for any other answer.