979357640625 has 567 divisors, whose sum is σ = 2306810570103. Its totient is φ = 399016800000.

The previous prime is 979357640593. The next prime is 979357640663. The reversal of 979357640625 is 526046753979.

The square root of 979357640625 is 989625.

It is a perfect power (a square), and thus also a powerful number.

979357640625 is a `hidden beast` number, since 97 + 93 + 57 + 6 + 406 + 2 + 5 = 666.

It can be written as a sum of positive squares in 31 ways, for example, as 41563809 + 979316076816 = 6447^2 + 989604^2 .

It is not a de Polignac number, because 979357640625 - 2⁵ = 979357640593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 33770953111 + ... + 33770953139.

Almost surely, 2^979357640625 is an apocalyptic number.

979357640625 is the 989625-th square number.

979357640625 is the 494813-rd centered octagonal number.

It is an amenable number.

979357640625 is an abundant number, since it is smaller than the sum of its proper divisors (1327452929478).

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

979357640625 is an equidigital number, since it uses as much as digits as its factorization.

979357640625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 979357640625 in words is "nine hundred seventy-nine billion, three hundred fifty-seven million, six hundred forty thousand, six hundred twenty-five".