23772540960 has 960 divisors, whose sum is σ = 101165137920. Its totient is φ = 5143357440.

The previous prime is 23772540949. The next prime is 23772541027. The reversal of 23772540960 is 6904527732.

23772540960 is a `hidden beast` number, since 2 + 37 + 72 + 540 + 9 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 222173227 + ... + 222173333.

It is an arithmetic number, because the mean of its divisors is an integer number (105380352).

Almost surely, 2^23772540960 is an apocalyptic number.

23772540960 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 23772540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50582568960).

23772540960 is an abundant number, since it is smaller than the sum of its proper divisors (77392596960).

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

23772540960 is a wasteful number, since it uses less digits than its factorization.

23772540960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 23772540960 in words is "twenty-three billion, seven hundred seventy-two million, five hundred forty thousand, nine hundred sixty".