[ [ divisibility rules for 3 and 9 ]

It is known that $35!=10333147966386144929 * 66651337523200000000$. Find the digit replaced by the asterisk.

The number 35! is divisible by 9.

#
Since 35! is divisible by 9, the sum of the digits of this number is also divisible by 9. It is not difficult to calculate that the sum of the digits (excluding the asterisk) of the written number gives a remainder of 3 when divided by 9. Therefore, the digit replaced by the asterisk is 6.

## Answer

6.