23872674478464 has 640 divisors, whose sum is σ = 82449140248800. Its totient is φ = 6799727886336.

The previous prime is 23872674478427. The next prime is 23872674478483. The reversal of 23872674478464 is 46487447627832.

23872674478464 is a `hidden beast` number, since 2 + 3 + 8 + 7 + 26 + 74 + 4 + 78 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23872674478392 and 23872674478401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2796373204 + ... + 2796381740.

Almost surely, 2^{23872674478464} is an apocalyptic number.

23872674478464 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 23872674478464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41224570124400).

23872674478464 is an abundant number, since it is smaller than the sum of its proper divisors (58576465770336).

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

23872674478464 is an frugal number, since it uses more digits than its factorization.

23872674478464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8925 (or 8886 counting only the distinct ones).

The product of its digits is 2427715584, while the sum is 72.

The spelling of 23872674478464 in words is "twenty-three trillion, eight hundred seventy-two billion, six hundred seventy-four million, four hundred seventy-eight thousand, four hundred sixty-four".