79946598564000 has 5760 divisors, whose sum is σ = 385827080550912. Its totient is φ = 16140437913600.

The previous prime is 79946598563971. The next prime is 79946598564031. The reversal of 79946598564000 is 46589564997.

79946598564000 is a `hidden beast` number, since 7 + 9 + 9 + 4 + 6 + 59 + 8 + 564 + 0 + 0 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 79946598564000.

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 959 ways as a sum of consecutive naturals, for example, 1508426387974 + ... + 1508426388026.

Almost surely, 2^{79946598564000} is an apocalyptic number.

79946598564000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79946598564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192913540275456).

79946598564000 is an abundant number, since it is smaller than the sum of its proper divisors (305880481986912).

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

79946598564000 is an equidigital number, since it uses as much as digits as its factorization.

79946598564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 79946598564000 in words is "seventy-nine trillion, nine hundred forty-six billion, five hundred ninety-eight million, five hundred sixty-four thousand".