23427662400 has 420 divisors, whose sum is σ = 88234547940. Its totient is φ = 6093619200.

The previous prime is 23427662393. The next prime is 23427662411. The reversal of 23427662400 is 426672432.

23427662400 is a `hidden beast` number, since 2 + 3 + 4 + 27 + 6 + 624 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9211392576 + 14216269824 = 95976^2 + 119232^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5311396 + ... + 5315804.

It is an arithmetic number, because the mean of its divisors is an integer number (210082257).

Almost surely, 2^23427662400 is an apocalyptic number.

23427662400 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 23427662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44117273970).

23427662400 is an abundant number, since it is smaller than the sum of its proper divisors (64806885540).

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

23427662400 is a wasteful number, since it uses less digits than its factorization.

23427662400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4484 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 23427662400 in words is "twenty-three billion, four hundred twenty-seven million, six hundred sixty-two thousand, four hundred".