79335168000 has 384 divisors, whose sum is σ = 287990277120. Its totient is φ = 19230720000.

The previous prime is 79335167999. The next prime is 79335168037. The reversal of 79335168000 is 86153397.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8443305 + ... + 8452695.

It is an arithmetic number, because the mean of its divisors is an integer number (749974680).

Almost surely, 2^79335168000 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 79335168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143995138560).

79335168000 is an abundant number, since it is smaller than the sum of its proper divisors (208655109120).

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

79335168000 is a wasteful number, since it uses less digits than its factorization.

79335168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9442 (or 9412 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 79335168000 in words is "seventy-nine billion, three hundred thirty-five million, one hundred sixty-eight thousand".