79964456704 has 144 divisors (see below), whose sum is σ = 187559729280. Its totient is φ = 33632686080.

The previous prime is 79964456699. The next prime is 79964456729. The reversal of 79964456704 is 40765446997.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2283294 + ... + 2318050.

It is an arithmetic number, because the mean of its divisors is an integer number (1302498120).

Almost surely, 2^79964456704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79964456704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93779864640).

79964456704 is an abundant number, since it is smaller than the sum of its proper divisors (107595272576).

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

79964456704 is a wasteful number, since it uses less digits than its factorization.

79964456704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34846 (or 34832 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 61.

The spelling of 79964456704 in words is "seventy-nine billion, nine hundred sixty-four million, four hundred fifty-six thousand, seven hundred four".