Factorials And Divisors

1!1! has 1 positive divisor.
2!2! has 2 positive divisors.
3!3! has 4 positive divisors.
4!4! has 8 positive divisors.
5!5! has 16 positive divisors.
6!6! has ______\text{\_\_\_\_\_\_} positive divisors.

Notation: !! is the factorial notation. For example, 8!=1×2×3××88! = 1\times2\times3\times\cdots\times8 .

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