18379505664 has 544 divisors, whose sum is σ = 63417392640. Its totient is φ = 5209325568.

The previous prime is 18379505623. The next prime is 18379505693. The reversal of 18379505664 is 46650597381.

18379505664 is a `hidden beast` number, since 1 + 8 + 3 + 79 + 5 + 0 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (544).

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

It is a self number, because there is not a number n which added to its sum of digits gives 18379505664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391053289 + ... + 391053335.

Almost surely, 2^18379505664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18379505664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31708696320).

18379505664 is an abundant number, since it is smaller than the sum of its proper divisors (45037886976).

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

18379505664 is an equidigital number, since it uses as much as digits as its factorization.

18379505664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 18379505664 in words is "eighteen billion, three hundred seventy-nine million, five hundred five thousand, six hundred sixty-four".