972168968320 has 64 divisors (see below), whose sum is σ = 2535372498240. Its totient is φ = 353515985920.

The previous prime is 972168968273. The next prime is 972168968341. The reversal of 972168968320 is 23869861279.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×972168968320² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69039052 + ... + 69053131.

It is an arithmetic number, because the mean of its divisors is an integer number (39615195285).

Almost surely, 2^972168968320 is an apocalyptic number.

It is an amenable number.

972168968320 is an abundant number, since it is smaller than the sum of its proper divisors (1563203529920).

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

972168968320 is a wasteful number, since it uses less digits than its factorization.

972168968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138092213 (or 138092201 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 61.

The spelling of 972168968320 in words is "nine hundred seventy-two billion, one hundred sixty-eight million, nine hundred sixty-eight thousand, three hundred twenty".