18364884480 has 480 divisors, whose sum is σ = 65897076960. Its totient is φ = 4724490240.

The previous prime is 18364884479. The next prime is 18364884493. The reversal of 18364884480 is 8448846381.

18364884480 is a `hidden beast` number, since 1 + 83 + 6 + 4 + 8 + 84 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102597031 + ... + 102597209.

It is an arithmetic number, because the mean of its divisors is an integer number (137285577).

Almost surely, 2^18364884480 is an apocalyptic number.

18364884480 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 18364884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32948538480).

18364884480 is an abundant number, since it is smaller than the sum of its proper divisors (47532192480).

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

18364884480 is a wasteful number, since it uses less digits than its factorization.

18364884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 18364884480 in words is "eighteen billion, three hundred sixty-four million, eight hundred eighty-four thousand, four hundred eighty".