23200764400 has 120 divisors (see below), whose sum is σ = 61804646928. Its totient is φ = 8298240000.

The previous prime is 23200764373. The next prime is 23200764413. The reversal of 23200764400 is 446700232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225180 + ... + 311620.

Almost surely, 2^23200764400 is an apocalyptic number.

23200764400 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 23200764400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30902323464).

23200764400 is an abundant number, since it is smaller than the sum of its proper divisors (38603882528).

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

23200764400 is a wasteful number, since it uses less digits than its factorization.

23200764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86531 (or 86520 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The spelling of 23200764400 in words is "twenty-three billion, two hundred million, seven hundred sixty-four thousand, four hundred".