7917958272 has 64 divisors (see below), whose sum is σ = 24036667200. Its totient is φ = 2262273024.

The previous prime is 7917958261. The next prime is 7917958277. The reversal of 7917958272 is 2728597197.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (7917958277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1470147 + ... + 1475522.

It is an arithmetic number, because the mean of its divisors is an integer number (375572925).

Almost surely, 2^7917958272 is an apocalyptic number.

It is an amenable number.

7917958272 is an abundant number, since it is smaller than the sum of its proper divisors (16118708928).

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

7917958272 is a wasteful number, since it uses less digits than its factorization.

7917958272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2945693 (or 2945681 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 57.

The square root of 7917958272 is about 88982.9099996173. The cubic root of 7917958272 is about 1993.1396842735.

The spelling of 7917958272 in words is "seven billion, nine hundred seventeen million, nine hundred fifty-eight thousand, two hundred seventy-two".