23768507052864 has 448 divisors, whose sum is σ = 80177843200000. Its totient is φ = 6763777800192.

The previous prime is 23768507052821. The next prime is 23768507052943. The reversal of 23768507052864 is 46825070586732.

23768507052864 is a `hidden beast` number, since 2 + 3 + 7 + 68 + 507 + 0 + 5 + 2 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4386139947 + ... + 4386145365.

It is an arithmetic number, because the mean of its divisors is an integer number (178968400000).

Almost surely, 2^{23768507052864} is an apocalyptic number.

23768507052864 is a gapful number since it is divisible by the number (24) 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 23768507052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40088921600000).

23768507052864 is an abundant number, since it is smaller than the sum of its proper divisors (56409336147136).

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

23768507052864 is a wasteful number, since it uses less digits than its factorization.

23768507052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6835 (or 6819 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 23768507052864 in words is "twenty-three trillion, seven hundred sixty-eight billion, five hundred seven million, fifty-two thousand, eight hundred sixty-four".