23960664000 has 1792 divisors, whose sum is σ = 115030056960. Its totient is φ = 4744396800.

The previous prime is 23960663953. The next prime is 23960664019. The reversal of 23960664000 is 46606932.

23960664000 is a `hidden beast` number, since 2 + 3 + 9 + 6 + 0 + 6 + 640 + 0 + 0 = 666.

It is a super-2 number, since 2×23960664000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 452087974 + ... + 452088026.

It is an arithmetic number, because the mean of its divisors is an integer number (64190880).

Almost surely, 2^23960664000 is an apocalyptic number.

23960664000 is a gapful number since it is divisible by the number (20) 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 23960664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57515028480).

23960664000 is an abundant number, since it is smaller than the sum of its proper divisors (91069392960).

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

23960664000 is a wasteful number, since it uses less digits than its factorization.

23960664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 23960664000 in words is "twenty-three billion, nine hundred sixty million, six hundred sixty-four thousand".