9738576604800 has 960 divisors, whose sum is σ = 36777540729600. Its totient is φ = 2536842240000.

The previous prime is 9738576604781. The next prime is 9738576604819. The reversal of 9738576604800 is 84066758379.

9738576604800 is a `hidden beast` number, since 9 + 7 + 3 + 85 + 76 + 6 + 0 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9738576604781) and next prime (9738576604819).

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2387489161 + ... + 2387493239.

It is an arithmetic number, because the mean of its divisors is an integer number (38309938260).

Almost surely, 2^{9738576604800} is an apocalyptic number.

9738576604800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9738576604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388770364800).

9738576604800 is an abundant number, since it is smaller than the sum of its proper divisors (27038964124800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9738576604800 is a wasteful number, since it uses less digits than its factorization.

9738576604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 9738576604800 in words is "nine trillion, seven hundred thirty-eight billion, five hundred seventy-six million, six hundred four thousand, eight hundred".