79646735164800 has 384 divisors, whose sum is σ = 264328476716160. Its totient is φ = 21077942026240.

The previous prime is 79646735164783. The next prime is 79646735164943. The reversal of 79646735164800 is 846153764697.

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

It is a Smith number, since the sum of its digits (66) 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6106467079 + ... + 6106480121.

It is an arithmetic number, because the mean of its divisors is an integer number (688355408115).

Almost surely, 2^{79646735164800} 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 79646735164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132164238358080).

79646735164800 is an abundant number, since it is smaller than the sum of its proper divisors (184681741551360).

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

79646735164800 is a wasteful number, since it uses less digits than its factorization.

79646735164800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17850 (or 17833 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 79646735164800 in words is "seventy-nine trillion, six hundred forty-six billion, seven hundred thirty-five million, one hundred sixty-four thousand, eight hundred".