18706920960 has 960 divisors, whose sum is σ = 77639316480. Its totient is φ = 3757178880.

The previous prime is 18706920941. The next prime is 18706920977. The reversal of 18706920960 is 6902960781.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 263477725 + ... + 263477795.

It is an arithmetic number, because the mean of its divisors is an integer number (80874288).

Almost surely, 2^18706920960 is an apocalyptic number.

18706920960 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 18706920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38819658240).

18706920960 is an abundant number, since it is smaller than the sum of its proper divisors (58932395520).

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

18706920960 is a wasteful number, since it uses less digits than its factorization.

18706920960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 18706920960 in words is "eighteen billion, seven hundred six million, nine hundred twenty thousand, nine hundred sixty".