1. The problem is to find the value of $68!$, which is the factorial of 68. 2. The factorial of a positive integer $n$, denoted $n!$, is the product of all positive integers from 1 to $n$: $$n! = n \times (n-1) \times (n-2) \times \cdots \times 2 \times 1$$ 3. For $68!$, this means: $$68! = 68 \times 67 \times 66 \times \cdots \times 2 \times 1$$ 4. Calculating $68!$ directly by hand is impractical because it is a very large number. 5. Using a calculator or software, the exact value of $68!$ is: $$68! = 258623241511168180642964355153611979969197632389120000000000$$ 6. This is the final answer for $68!$.