18440007264 has 384 divisors, whose sum is σ = 64563609600. Its totient is φ = 5009195520.

The previous prime is 18440007259. The next prime is 18440007317. The reversal of 18440007264 is 46270004481.

18440007264 is a `hidden beast` number, since 184 + 400 + 0 + 72 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 11060959 + ... + 11062625.

It is an arithmetic number, because the mean of its divisors is an integer number (168134400).

Almost surely, 2^18440007264 is an apocalyptic number.

18440007264 is a gapful number since it is divisible by the number (14) 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 18440007264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32281804800).

18440007264 is an abundant number, since it is smaller than the sum of its proper divisors (46123602336).

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

18440007264 is a wasteful number, since it uses less digits than its factorization.

18440007264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 18440007264 in words is "eighteen billion, four hundred forty million, seven thousand, two hundred sixty-four".