23688662400 has 864 divisors, whose sum is σ = 95083110720. Its totient is φ = 5607014400.

The previous prime is 23688662381. The next prime is 23688662401. The reversal of 23688662400 is 426688632.

23688662400 is a `hidden beast` number, since 236 + 8 + 8 + 6 + 6 + 2 + 400 = 666.

It is a super-2 number, since 2×23688662400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23688662401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 150883122 + ... + 150883278.

Almost surely, 2^23688662400 is an apocalyptic number.

23688662400 is a gapful number since it is divisible by the number (20) 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 23688662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47541555360).

23688662400 is an abundant number, since it is smaller than the sum of its proper divisors (71394448320).

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

23688662400 is a wasteful number, since it uses less digits than its factorization.

23688662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 23688662400 in words is "twenty-three billion, six hundred eighty-eight million, six hundred sixty-two thousand, four hundred".