23768997436800 has 3840 divisors, whose sum is σ = 115760550850560. Its totient is φ = 4658135040000.

The previous prime is 23768997436783. The next prime is 23768997436813. The reversal of 23768997436800 is 863479986732.

23768997436800 is a `hidden beast` number, since 2 + 37 + 6 + 89 + 9 + 7 + 436 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 25367125932 + ... + 25367126868.

It is an arithmetic number, because the mean of its divisors is an integer number (30145976784).

Almost surely, 2^{23768997436800} is an apocalyptic number.

23768997436800 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 23768997436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57880275425280).

23768997436800 is an abundant number, since it is smaller than the sum of its proper divisors (91991553413760).

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

23768997436800 is a wasteful number, since it uses less digits than its factorization.

23768997436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 23768997436800 in words is "twenty-three trillion, seven hundred sixty-eight billion, nine hundred ninety-seven million, four hundred thirty-six thousand, eight hundred".