7712964072 has 256 divisors, whose sum is σ = 24858316800. Its totient is φ = 2192636160.

The previous prime is 7712964071. The next prime is 7712964079. The reversal of 7712964072 is 2704692177.

It is not an unprimeable number, because it can be changed into a prime (7712964071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2895013 + ... + 2897675.

It is an arithmetic number, because the mean of its divisors is an integer number (97102800).

Almost surely, 2^7712964072 is an apocalyptic number.

7712964072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7712964072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12429158400).

7712964072 is an abundant number, since it is smaller than the sum of its proper divisors (17145352728).

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

7712964072 is a wasteful number, since it uses less digits than its factorization.

7712964072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 7712964072 is about 87823.4824634050. The cubic root of 7712964072 is about 1975.7884218108.

The spelling of 7712964072 in words is "seven billion, seven hundred twelve million, nine hundred sixty-four thousand, seventy-two".