972639936279 has 48 divisors (see below), whose sum is σ = 1549252976544. Its totient is φ = 583101792000.

The previous prime is 972639936269. The next prime is 972639936287.

972639936279 is a `hidden beast` number, since 9 + 7 + 263 + 9 + 93 + 6 + 279 = 666.

972639936279 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 972639936279 - 2¹³ = 972639928087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972639936269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10884409 + ... + 10973405.

It is an arithmetic number, because the mean of its divisors is an integer number (32276103678).

Almost surely, 2^972639936279 is an apocalyptic number.

972639936279 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

972639936279 is a deficient number, since it is larger than the sum of its proper divisors (576613040265).

972639936279 is a wasteful number, since it uses less digits than its factorization.

972639936279 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90208 (or 90205 counting only the distinct ones).

The product of its digits is 416649744, while the sum is 72.

The spelling of 972639936279 in words is "nine hundred seventy-two billion, six hundred thirty-nine million, nine hundred thirty-six thousand, two hundred seventy-nine".