23972684736000 has 3840 divisors, whose sum is σ = 110618291976192. Its totient is φ = 4527194112000.

The previous prime is 23972684735899. The next prime is 23972684736037. The reversal of 23972684736000 is 63748627932.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×23972684736000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 138570431914 + ... + 138570432086.

Almost surely, 2^{23972684736000} is an apocalyptic number.

23972684736000 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 23972684736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55309145988096).

23972684736000 is an abundant number, since it is smaller than the sum of its proper divisors (86645607240192).

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

23972684736000 is a wasteful number, since it uses less digits than its factorization.

23972684736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 57.

The spelling of 23972684736000 in words is "twenty-three trillion, nine hundred seventy-two billion, six hundred eighty-four million, seven hundred thirty-six thousand".