972478924032 has 576 divisors, whose sum is σ = 3394141470720. Its totient is φ = 239807692800.

The previous prime is 972478924007. The next prime is 972478924093. The reversal of 972478924032 is 230429874279.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97155444 + ... + 97165452.

It is an arithmetic number, because the mean of its divisors is an integer number (5892606720).

Almost surely, 2^972478924032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972478924032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697070735360).

972478924032 is an abundant number, since it is smaller than the sum of its proper divisors (2421662546688).

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

972478924032 is a wasteful number, since it uses less digits than its factorization.

972478924032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10130 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 972478924032 in words is "nine hundred seventy-two billion, four hundred seventy-eight million, nine hundred twenty-four thousand, thirty-two".