79314744960 has 576 divisors, whose sum is σ = 310841556480. Its totient is φ = 18602496000.

The previous prime is 79314744953. The next prime is 79314744973. The reversal of 79314744960 is 6944741397.

79314744960 is a `hidden beast` number, since 7 + 9 + 3 + 147 + 4 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 79314744897 and 79314744906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21603925 + ... + 21607595.

It is an arithmetic number, because the mean of its divisors is an integer number (539655480).

Almost surely, 2^79314744960 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 79314744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155420778240).

79314744960 is an abundant number, since it is smaller than the sum of its proper divisors (231526811520).

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

79314744960 is a wasteful number, since it uses less digits than its factorization.

79314744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3749 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 79314744960 in words is "seventy-nine billion, three hundred fourteen million, seven hundred forty-four thousand, nine hundred sixty".