23661600768 has 420 divisors, whose sum is σ = 76906979028. Its totient is φ = 7245987840.

The previous prime is 23661600763. The next prime is 23661600791. The reversal of 23661600768 is 86700616632.

23661600768 is a `hidden beast` number, since 2 + 36 + 6 + 1 + 600 + 7 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23661600763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 112140183 + ... + 112140393.

Almost surely, 2^23661600768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23661600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38453489514).

23661600768 is an abundant number, since it is smaller than the sum of its proper divisors (53245378260).

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

23661600768 is an equidigital number, since it uses as much as digits as its factorization.

23661600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 23661600768 in words is "twenty-three billion, six hundred sixty-one million, six hundred thousand, seven hundred sixty-eight".