79229960472960 has 1920 divisors, whose sum is σ = 315467870699520. Its totient is φ = 18933975244800.

The previous prime is 79229960472889. The next prime is 79229960472973. The reversal of 79229960472960 is 6927406992297.

79229960472960 is a `hidden beast` number, since 7 + 9 + 2 + 2 + 9 + 9 + 60 + 472 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 215885450697 + ... + 215885451063.

It is an arithmetic number, because the mean of its divisors is an integer number (164306182656).

Almost surely, 2^{79229960472960} 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 79229960472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157733935349760).

79229960472960 is an abundant number, since it is smaller than the sum of its proper divisors (236237910226560).

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

79229960472960 is a wasteful number, since it uses less digits than its factorization.

79229960472960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 79229960472960 in words is "seventy-nine trillion, two hundred twenty-nine billion, nine hundred sixty million, four hundred seventy-two thousand, nine hundred sixty".