18755336664960 has 768 divisors, whose sum is σ = 70920165496320. Its totient is φ = 4129724252160.

The previous prime is 18755336664949. The next prime is 18755336665007. The reversal of 18755336664960 is 6946663355781.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2931892482 + ... + 2931898878.

It is an arithmetic number, because the mean of its divisors is an integer number (92343965490).

Almost surely, 2^{18755336664960} is an apocalyptic number.

18755336664960 is a gapful number since it is divisible by the number (10) 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 18755336664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35460082748160).

18755336664960 is an abundant number, since it is smaller than the sum of its proper divisors (52164828831360).

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

18755336664960 is a wasteful number, since it uses less digits than its factorization.

18755336664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6715 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 69.

The spelling of 18755336664960 in words is "eighteen trillion, seven hundred fifty-five billion, three hundred thirty-six million, six hundred sixty-four thousand, nine hundred sixty".