18340971264 has 648 divisors, whose sum is σ = 69720251328. Its totient is φ = 4755179520.

The previous prime is 18340971217. The next prime is 18340971277. The reversal of 18340971264 is 46217904381.

18340971264 is a `hidden beast` number, since 183 + 409 + 7 + 1 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33529839 + ... + 33530385.

Almost surely, 2^18340971264 is an apocalyptic number.

18340971264 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 18340971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34860125664).

18340971264 is an abundant number, since it is smaller than the sum of its proper divisors (51379280064).

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

18340971264 is an equidigital number, since it uses as much as digits as its factorization.

18340971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 18340971264 in words is "eighteen billion, three hundred forty million, nine hundred seventy-one thousand, two hundred sixty-four".