972509638464 has 168 divisors, whose sum is σ = 3430798076160. Its totient is φ = 256486044672.

The previous prime is 972509638459. The next prime is 972509638483. The reversal of 972509638464 is 464836905279.

972509638464 is a `hidden beast` number, since 9 + 7 + 2 + 50 + 96 + 38 + 464 = 666.

972509638464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9224424 + ... + 9329255.

It is an arithmetic number, because the mean of its divisors is an integer number (20421417120).

Almost surely, 2^972509638464 is an apocalyptic number.

It is an amenable number.

972509638464 is an abundant number, since it is smaller than the sum of its proper divisors (2458288437696).

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

972509638464 is a wasteful number, since it uses less digits than its factorization.

972509638464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18553717 (or 18553704 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 972509638464 in words is "nine hundred seventy-two billion, five hundred nine million, six hundred thirty-eight thousand, four hundred sixty-four".