7932504672 has 72 divisors (see below), whose sum is σ = 22584331224. Its totient is φ = 2641089024.

The previous prime is 7932504667. The next prime is 7932504673. The reversal of 7932504672 is 2764052397.

7932504672 is a `hidden beast` number, since 79 + 3 + 2 + 504 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7932504673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 238708 + ... + 269900.

It is an arithmetic number, because the mean of its divisors is an integer number (313671267).

Almost surely, 2^7932504672 is an apocalyptic number.

7932504672 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7932504672 is an abundant number, since it is smaller than the sum of its proper divisors (14651826552).

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

7932504672 is a wasteful number, since it uses less digits than its factorization.

7932504672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32092 (or 32081 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7932504672 is about 89064.6095371220. The cubic root of 7932504672 is about 1994.3594966488.

The spelling of 7932504672 in words is "seven billion, nine hundred thirty-two million, five hundred four thousand, six hundred seventy-two".