18756264960 has 704 divisors, whose sum is σ = 72434323200. Its totient is φ = 4586471424.

The previous prime is 18756264959. The next prime is 18756264971. The reversal of 18756264960 is 6946265781.

18756264960 is a `hidden beast` number, since 1 + 8 + 7 + 5 + 626 + 4 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18756264897 and 18756264906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 97182624 + ... + 97182816.

Almost surely, 2^18756264960 is an apocalyptic number.

18756264960 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 18756264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36217161600).

18756264960 is an abundant number, since it is smaller than the sum of its proper divisors (53678058240).

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

18756264960 is a wasteful number, since it uses less digits than its factorization.

18756264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 18756264960 in words is "eighteen billion, seven hundred fifty-six million, two hundred sixty-four thousand, nine hundred sixty".