23768079264 has 96 divisors (see below), whose sum is σ = 69822648000. Its totient is φ = 7865655552.

The previous prime is 23768079239. The next prime is 23768079299. The reversal of 23768079264 is 46297086732.

23768079264 is a `hidden beast` number, since 2 + 376 + 8 + 0 + 7 + 9 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 23768079264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21142 + ... + 219050.

It is an arithmetic number, because the mean of its divisors is an integer number (727319250).

Almost surely, 2^23768079264 is an apocalyptic number.

23768079264 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 23768079264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34911324000).

23768079264 is an abundant number, since it is smaller than the sum of its proper divisors (46054568736).

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

23768079264 is a wasteful number, since it uses less digits than its factorization.

23768079264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198067 (or 198053 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 23768079264 in words is "twenty-three billion, seven hundred sixty-eight million, seventy-nine thousand, two hundred sixty-four".