972640204800 has 864 divisors, whose sum is σ = 3598250947200. Its totient is φ = 231533772800.

The previous prime is 972640204799. The next prime is 972640204829. The reversal of 972640204800 is 8402046279.

972640204800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1096549957 + ... + 1096550843.

It is an arithmetic number, because the mean of its divisors is an integer number (4164642300).

Almost surely, 2^972640204800 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 972640204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799125473600).

972640204800 is an abundant number, since it is smaller than the sum of its proper divisors (2625610742400).

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

972640204800 is a wasteful number, since it uses less digits than its factorization.

972640204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 972640204800 in words is "nine hundred seventy-two billion, six hundred forty million, two hundred four thousand, eight hundred".