23668435560672 has 576 divisors, whose sum is σ = 82789436620800. Its totient is φ = 6268789739520.

The previous prime is 23668435560647. The next prime is 23668435560713. The reversal of 23668435560672 is 27606553486632.

23668435560672 is a `hidden beast` number, since 2 + 3 + 6 + 6 + 8 + 4 + 3 + 5 + 560 + 67 + 2 = 666.

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 95 ways as a sum of consecutive naturals, for example, 230121354 + ... + 230224182.

It is an arithmetic number, because the mean of its divisors is an integer number (143731660800).

Almost surely, 2^{23668435560672} 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 23668435560672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41394718310400).

23668435560672 is an abundant number, since it is smaller than the sum of its proper divisors (59121001060128).

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

23668435560672 is a wasteful number, since it uses less digits than its factorization.

23668435560672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103039 (or 103028 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 23668435560672 in words is "twenty-three trillion, six hundred sixty-eight billion, four hundred thirty-five million, five hundred sixty thousand, six hundred seventy-two".