172264972464 has 240 divisors, whose sum is σ = 535890700800. Its totient is φ = 51326313984.

The previous prime is 172264972459. The next prime is 172264972501. The reversal of 172264972464 is 464279462271.

172264972464 is a `hidden beast` number, since 1 + 72 + 2 + 6 + 49 + 72 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 172264972464.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7388377 + ... + 7411655.

It is an arithmetic number, because the mean of its divisors is an integer number (2232877920).

Almost surely, 2^172264972464 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 172264972464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267945350400).

172264972464 is an abundant number, since it is smaller than the sum of its proper divisors (363625728336).

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

172264972464 is a wasteful number, since it uses less digits than its factorization.

172264972464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23432 (or 23423 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 172264972464 in words is "one hundred seventy-two billion, two hundred sixty-four million, nine hundred seventy-two thousand, four hundred sixty-four".