23772044761920 has 1344 divisors, whose sum is σ = 101367042416640. Its totient is φ = 4979319422976.

The previous prime is 23772044761909. The next prime is 23772044761981. The reversal of 23772044761920 is 2916744027732.

23772044761920 is a `hidden beast` number, since 2 + 3 + 7 + 7 + 2 + 0 + 447 + 6 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×23772044761920² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28884622629 + ... + 28884623451.

It is an arithmetic number, because the mean of its divisors is an integer number (75421906560).

Almost surely, 2^{23772044761920} is an apocalyptic number.

23772044761920 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 23772044761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50683521208320).

23772044761920 is an abundant number, since it is smaller than the sum of its proper divisors (77594997654720).

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

23772044761920 is a wasteful number, since it uses less digits than its factorization.

23772044761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 23772044761920 in words is "twenty-three trillion, seven hundred seventy-two billion, forty-four million, seven hundred sixty-one thousand, nine hundred twenty".