23626764100 has 81 divisors (see below), whose sum is σ = 54177494007. Its totient is φ = 8942232960.

The previous prime is 23626764097. The next prime is 23626764103. The reversal of 23626764100 is 146762632.

The square root of 23626764100 is 153710.

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

It is an interprime number because it is at equal distance from previous prime (23626764097) and next prime (23626764103).

It can be written as a sum of positive squares in 4 ways, for example, as 1933009156 + 21693754944 = 43966^2 + 147288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23626764100.

It is not an unprimeable number, because it can be changed into a prime (23626764103) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29204496 + ... + 29205304.

Almost surely, 2^23626764100 is an apocalyptic number.

23626764100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23626764100 is the 153710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23626764100

23626764100 is an abundant number, since it is smaller than the sum of its proper divisors (30550729907).

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

23626764100 is an equidigital number, since it uses as much as digits as its factorization.

23626764100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 23626764100 in words is "twenty-three billion, six hundred twenty-six million, seven hundred sixty-four thousand, one hundred".