79985664000 has 896 divisors, whose sum is σ = 323864386560. Its totient is φ = 19316736000.

The previous prime is 79985663993. The next prime is 79985664049. The reversal of 79985664000 is 46658997.

79985664000 is a `hidden beast` number, since 79 + 9 + 8 + 566 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304127869 + ... + 304128131.

Almost surely, 2^79985664000 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 79985664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161932193280).

79985664000 is an abundant number, since it is smaller than the sum of its proper divisors (243878722560).

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

79985664000 is a wasteful number, since it uses less digits than its factorization.

79985664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 79985664000 in words is "seventy-nine billion, nine hundred eighty-five million, six hundred sixty-four thousand".