972574868400 has 60 divisors (see below), whose sum is σ = 3115481498952. Its totient is φ = 259353297920.

The previous prime is 972574868359. The next prime is 972574868401. The reversal of 972574868400 is 4868475279.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (972574868401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 405238329 + ... + 405240728.

Almost surely, 2^972574868400 is an apocalyptic number.

It is an amenable number.

972574868400 is an abundant number, since it is smaller than the sum of its proper divisors (2142906630552).

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

972574868400 is a wasteful number, since it uses less digits than its factorization.

972574868400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810479078 (or 810479067 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 972574868400 in words is "nine hundred seventy-two billion, five hundred seventy-four million, eight hundred sixty-eight thousand, four hundred".