The number you are looking for is 64.

Explanation:

64 is both a square number and a cube number:

• Square number: $64 = 8^2$
• Cube number: $64 = 4^3$

This satisfies the condition of being greater than 1 and simultaneously both a square and a cube number.

Would you like more details or further clarification on this?

Here are some related questions to expand on this concept:

1. What is the next number that is both a square and a cube after 64?
2. How can we find numbers that are both squares and cubes in general?
3. What is the difference between perfect squares and perfect cubes?
4. Can you give an example of a number that is a cube but not a square?
5. What is the smallest number that is a perfect square, cube, and fourth power?

Tip: Numbers that are both squares and cubes are actually sixth powers (e.g., $64 = 2^6$).