23687327664 has 1200 divisors, whose sum is σ = 100121091840. Its totient is φ = 5206809600.

The previous prime is 23687327663. The next prime is 23687327711. The reversal of 23687327664 is 46672378632.

23687327664 is a `hidden beast` number, since 2 + 368 + 7 + 3 + 276 + 6 + 4 = 666.

It is a super-2 number, since 2×23687327664² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23687327664.

It is not an unprimeable number, because it can be changed into a prime (23687327663) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 764107329 + ... + 764107359.

Almost surely, 2^23687327664 is an apocalyptic number.

23687327664 is a gapful number since it is divisible by the number (24) 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 23687327664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50060545920).

23687327664 is an abundant number, since it is smaller than the sum of its proper divisors (76433764176).

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

23687327664 is a wasteful number, since it uses less digits than its factorization.

23687327664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 86 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 23687327664 in words is "twenty-three billion, six hundred eighty-seven million, three hundred twenty-seven thousand, six hundred sixty-four".