73799612593920 has 2016 divisors, whose sum is σ = 286503961572864. Its totient is φ = 18166726656000.

The previous prime is 73799612593919. The next prime is 73799612593961. The reversal of 73799612593920 is 2939521699737.

73799612593920 is a `hidden beast` number, since 7 + 3 + 7 + 9 + 9 + 6 + 1 + 2 + 593 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 56725297270 + ... + 56725298570.

It is an arithmetic number, because the mean of its divisors is an integer number (142115060304).

Almost surely, 2^{73799612593920} 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 73799612593920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143251980786432).

73799612593920 is an abundant number, since it is smaller than the sum of its proper divisors (212704348978944).

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

73799612593920 is a wasteful number, since it uses less digits than its factorization.

73799612593920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 347208120, while the sum is 72.

The spelling of 73799612593920 in words is "seventy-three trillion, seven hundred ninety-nine billion, six hundred twelve million, five hundred ninety-three thousand, nine hundred twenty".