Evaluate the expression. If the answer is not an integer, round to four decimal places.
\[
(6+3) !
\]

Select the correct answer below and fill in the answer box to complete your choice.
A. The value is not an integer. $(6+3) ! \approx \square$ (Round to four decimal places as needed.)
B. The value is an integer. $(6+3) !=\square$

Step 1 ：The question is asking for the factorial of the sum of 6 and 3. The factorial of a number n, denoted as n!, is the product of all positive integers less than or equal to n. The factorial function can grow very quickly, so the result is likely to be a large number. Since the factorial of a number is the product of integers, the result should be an integer. Therefore, we can rule out option A. We need to calculate the factorial of 9 (since 6+3=9) to answer the question.

Step 2 ：Calculate the factorial of 9: \(9! = 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 362880\)

Step 3 ：Final Answer: The value is an integer. \((6+3) ! = \boxed{362880}\)