7972688475 has 72 divisors (see below), whose sum is σ = 15141999600. Its totient is φ = 3996149760.

The previous prime is 7972688459. The next prime is 7972688483. The reversal of 7972688475 is 5748862797.

7972688475 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7972688475 - 2⁴ = 7972688459 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4011432 + ... + 4013418.

It is an arithmetic number, because the mean of its divisors is an integer number (210305550).

Almost surely, 2^7972688475 is an apocalyptic number.

7972688475 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7972688475 is a deficient number, since it is larger than the sum of its proper divisors (7169311125).

7972688475 is a wasteful number, since it uses less digits than its factorization.

7972688475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3061 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The square root of 7972688475 is about 89289.9125041569. The cubic root of 7972688475 is about 1997.7214446619.

The spelling of 7972688475 in words is "seven billion, nine hundred seventy-two million, six hundred eighty-eight thousand, four hundred seventy-five".