23032742400 has 720 divisors, whose sum is σ = 92018440800. Its totient is φ = 5467668480.

The previous prime is 23032742399. The next prime is 23032742431. The reversal of 23032742400 is 424723032.

23032742400 is a `hidden beast` number, since 230 + 3 + 2 + 7 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37209291 + ... + 37209909.

It is an arithmetic number, because the mean of its divisors is an integer number (127803390).

Almost surely, 2^23032742400 is an apocalyptic number.

23032742400 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 23032742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46009220400).

23032742400 is an abundant number, since it is smaller than the sum of its proper divisors (68985698400).

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

23032742400 is a wasteful number, since it uses less digits than its factorization.

23032742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The spelling of 23032742400 in words is "twenty-three billion, thirty-two million, seven hundred forty-two thousand, four hundred".