18396624960 has 448 divisors, whose sum is σ = 76184394240. Its totient is φ = 4090798080.

The previous prime is 18396624949. The next prime is 18396624973. The reversal of 18396624960 is 6942669381.

18396624960 is a `hidden beast` number, since 1 + 8 + 3 + 9 + 6 + 624 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 18396624897 and 18396624906.

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, 2233650 + ... + 2241870.

Almost surely, 2^18396624960 is an apocalyptic number.

18396624960 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 18396624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38092197120).

18396624960 is an abundant number, since it is smaller than the sum of its proper divisors (57787769280).

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

18396624960 is a wasteful number, since it uses less digits than its factorization.

18396624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8291 (or 8275 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 18396624960 in words is "eighteen billion, three hundred ninety-six million, six hundred twenty-four thousand, nine hundred sixty".