18564648960 has 416 divisors, whose sum is σ = 69817200768. Its totient is φ = 4152360960.

The previous prime is 18564648943. The next prime is 18564648967. The reversal of 18564648960 is 6984646581.

It is a tau number, because it is divible by the number of its divisors (416).

It is a self number, because there is not a number n which added to its sum of digits gives 18564648960.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 8452 × 260 × 8448.

It is not an unprimeable number, because it can be changed into a prime (18564648967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8784864 + ... + 8786976.

Almost surely, 2^18564648960 is an apocalyptic number.

18564648960 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 18564648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34908600384).

18564648960 is an abundant number, since it is smaller than the sum of its proper divisors (51252551808).

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

18564648960 is a wasteful number, since it uses less digits than its factorization.

18564648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2169 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 18564648960 in words is "eighteen billion, five hundred sixty-four million, six hundred forty-eight thousand, nine hundred sixty".