23740646400 has 495 divisors, whose sum is σ = 88738078429. Its totient is φ = 6271672320.

The previous prime is 23740646389. The next prime is 23740646401. The reversal of 23740646400 is 464604732.

The square root of 23740646400 is 154080.

It is a perfect power (a square), and thus also a powerful number.

23740646400 is a `hidden beast` number, since 2 + 3 + 7 + 4 + 0 + 6 + 4 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8546632704 + 15194013696 = 92448^2 + 123264^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23740646401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 221875147 + ... + 221875253.

Almost surely, 2^23740646400 is an apocalyptic number.

23740646400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23740646400 is the 154080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23740646400

23740646400 is an abundant number, since it is smaller than the sum of its proper divisors (64997432029).

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

23740646400 is an equidigital number, since it uses as much as digits as its factorization.

23740646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Multiplying 23740646400 by its sum of digits (36), we get a square (854663270400 = 924480²).

23740646400 divided by its sum of digits (36) gives a square (659462400 = 25680²).

The spelling of 23740646400 in words is "twenty-three billion, seven hundred forty million, six hundred forty-six thousand, four hundred".