23379644400 has 720 divisors, whose sum is σ = 97178780160. Its totient is φ = 4760985600.

The previous prime is 23379644377. The next prime is 23379644413. The reversal of 23379644400 is 444697332.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18991785 + ... + 18993015.

It is an arithmetic number, because the mean of its divisors is an integer number (134970528).

Almost surely, 2^23379644400 is an apocalyptic number.

23379644400 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 23379644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48589390080).

23379644400 is an abundant number, since it is smaller than the sum of its proper divisors (73799135760).

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

23379644400 is a wasteful number, since it uses less digits than its factorization.

23379644400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 23379644400 in words is "twenty-three billion, three hundred seventy-nine million, six hundred forty-four thousand, four hundred".