23264409600 has 288 divisors, whose sum is σ = 85459374000. Its totient is φ = 6203473920.

The previous prime is 23264409569. The next prime is 23264409607. The reversal of 23264409600 is 690446232.

23264409600 is a `hidden beast` number, since 2 + 3 + 2 + 6 + 4 + 40 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23264409607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1373986 + ... + 1390814.

Almost surely, 2^23264409600 is an apocalyptic number.

23264409600 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 23264409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42729687000).

23264409600 is an abundant number, since it is smaller than the sum of its proper divisors (62194964400).

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

23264409600 is a wasteful number, since it uses less digits than its factorization.

23264409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16870 (or 16839 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 23264409600 in words is "twenty-three billion, two hundred sixty-four million, four hundred nine thousand, six hundred".