23768870400 has 360 divisors, whose sum is σ = 92800102824. Its totient is φ = 5761843200.

The previous prime is 23768870387. The next prime is 23768870423. The reversal of 23768870400 is 407886732.

It is a happy number.

23768870400 is a `hidden beast` number, since 237 + 6 + 8 + 8 + 7 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1257822 + ... + 1276578.

Almost surely, 2^23768870400 is an apocalyptic number.

23768870400 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 23768870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46400051412).

23768870400 is an abundant number, since it is smaller than the sum of its proper divisors (69031232424).

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

23768870400 is a wasteful number, since it uses less digits than its factorization.

23768870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18802 (or 18778 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 23768870400 in words is "twenty-three billion, seven hundred sixty-eight million, eight hundred seventy thousand, four hundred".