23867738400 has 288 divisors, whose sum is σ = 86147361216. Its totient is φ = 5690880000.

The previous prime is 23867738317. The next prime is 23867738437. The reversal of 23867738400 is 483776832.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23867738400.

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 47 ways as a sum of consecutive naturals, for example, 1602990 + ... + 1617810.

It is an arithmetic number, because the mean of its divisors is an integer number (299122782).

Almost surely, 2^23867738400 is an apocalyptic number.

23867738400 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 23867738400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43073680608).

23867738400 is an abundant number, since it is smaller than the sum of its proper divisors (62279622816).

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

23867738400 is a wasteful number, since it uses less digits than its factorization.

23867738400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14916 (or 14903 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

It can be divided in two parts, 23867 and 738400, that added together give a palindrome (762267).

The spelling of 23867738400 in words is "twenty-three billion, eight hundred sixty-seven million, seven hundred thirty-eight thousand, four hundred".