979468072200 has 108 divisors (see below), whose sum is σ = 3289521293565. Its totient is φ = 261180288960.

The previous prime is 979468072157. The next prime is 979468072207. The reversal of 979468072200 is 2270864979.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

979468072200 is a `hidden beast` number, since 97 + 9 + 468 + 0 + 72 + 20 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 959878710756 + 19589361444 = 979734^2 + 139962^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=699810.

It is not an unprimeable number, because it can be changed into a prime (979468072207) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41976937 + ... + 42000263.

Almost surely, 2^979468072200 is an apocalyptic number.

979468072200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

979468072200 is an abundant number, since it is smaller than the sum of its proper divisors (2310053221365).

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

979468072200 is an equidigital number, since it uses as much as digits as its factorization.

979468072200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46676 (or 23337 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 979468072200 in words is "nine hundred seventy-nine billion, four hundred sixty-eight million, seventy-two thousand, two hundred".