9717874974720 has 1008 divisors, whose sum is σ = 38403538402320. Its totient is φ = 2355556515840.

The previous prime is 9717874974713. The next prime is 9717874974739. The reversal of 9717874974720 is 274794787179.

9717874974720 is a `hidden beast` number, since 9 + 7 + 1 + 78 + 7 + 497 + 47 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1204342846 + ... + 1204350914.

It is an arithmetic number, because the mean of its divisors is an integer number (38098748415).

Almost surely, 2^{9717874974720} is an apocalyptic number.

9717874974720 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 9717874974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19201769201160).

9717874974720 is an abundant number, since it is smaller than the sum of its proper divisors (28685663427600).

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

9717874974720 is an equidigital number, since it uses as much as digits as its factorization.

9717874974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8137 (or 8090 counting only the distinct ones).

The product of its (nonzero) digits is 348509952, while the sum is 72.

The spelling of 9717874974720 in words is "nine trillion, seven hundred seventeen billion, eight hundred seventy-four million, nine hundred seventy-four thousand, seven hundred twenty".