972419652204 has 384 divisors, whose sum is σ = 3248966246400. Its totient is φ = 217847992320.

The previous prime is 972419652179. The next prime is 972419652287. The reversal of 972419652204 is 402256914279.

972419652204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28367227 + ... + 28401485.

It is an arithmetic number, because the mean of its divisors is an integer number (8460849600).

Almost surely, 2^972419652204 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 972419652204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624483123200).

972419652204 is an abundant number, since it is smaller than the sum of its proper divisors (2276546594196).

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

972419652204 is a wasteful number, since it uses less digits than its factorization.

972419652204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34453 (or 34451 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 972419652204 in words is "nine hundred seventy-two billion, four hundred nineteen million, six hundred fifty-two thousand, two hundred four".