79749793440 has 144 divisors (see below), whose sum is σ = 288154856808. Its totient is φ = 20015628288.

The previous prime is 79749793369. The next prime is 79749793441. The reversal of 79749793440 is 4439794797.

79749793440 is a `hidden beast` number, since 79 + 7 + 497 + 9 + 34 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72014942736 + 7734850704 = 268356^2 + 87948^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (79749793441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1604397 + ... + 1653356.

Almost surely, 2^79749793440 is an apocalyptic number.

It is an amenable number.

79749793440 is an abundant number, since it is smaller than the sum of its proper divisors (208405063368).

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

79749793440 is a wasteful number, since it uses less digits than its factorization.

79749793440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3257791 (or 3257780 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 79749793440 in words is "seventy-nine billion, seven hundred forty-nine million, seven hundred ninety-three thousand, four hundred forty".