79628984640000 has 2400 divisors, whose sum is σ = 315860690162160. Its totient is φ = 19223543808000.

The previous prime is 79628984639923. The next prime is 79628984640041. The reversal of 79628984640000 is 4648982697.

79628984640000 is a `hidden beast` number, since 7 + 96 + 2 + 89 + 8 + 464 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 40 ways, for example, as 66876543684864 + 12752440955136 = 8177808^2 + 3571056^2 .

It is a tau number, because it is divible by the number of its divisors (2400).

It is a self number, because there is not a number n which added to its sum of digits gives 79628984640000.

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, 204701759806 + ... + 204701760194.

Almost surely, 2^{79628984640000} 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 79628984640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157930345081080).

79628984640000 is an abundant number, since it is smaller than the sum of its proper divisors (236231705522160).

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

79628984640000 is a wasteful number, since it uses less digits than its factorization.

79628984640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 79628984640000 in words is "seventy-nine trillion, six hundred twenty-eight billion, nine hundred eighty-four million, six hundred forty thousand".