9. (7 points) 63 small white cubes and 1 small black cube, all with an edge length of 1 cm, can be assembled into a larger cube. How many different larger cubes, each containing 64 small cubes, can be assembled?
【Analysis】There are 64 in total, $4 \times 4 \times 4$, (1) place the black cube at the vertex, 1 way; (2) place the black cube in the middle of an edge, choose any one, 2 ways; (3) place the cube in the middle of each face, 4 ways; place the black cube inside, not visible from the outside, 8 ways; then add the number of ways for each case.

【Solution】Solution: (1) place the black cube at the vertex, 1 way; (2) place the black cube in the middle of an edge, choose any one, 2 ways; (3) place the cube in the middle of each face, 4 ways; (4) place the black cube inside, not visible from the outside, 8 ways;

Total: $1+2+4+8=15$ (ways);
Answer: A total of 15 different large cubes containing 64 small cubes can be assembled.
Therefore, the answer is: 15.