23563664640 has 720 divisors, whose sum is σ = 92553587280. Its totient is φ = 5697699840.

The previous prime is 23563664639. The next prime is 23563664687. The reversal of 23563664640 is 4646636532.

23563664640 is a `hidden beast` number, since 2 + 3 + 5 + 636 + 6 + 4 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 186624 + 23563478016 = 432^2 + 153504^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 51114010 + ... + 51114470.

It is an arithmetic number, because the mean of its divisors is an integer number (128546649).

Almost surely, 2^23563664640 is an apocalyptic number.

23563664640 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 23563664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46276793640).

23563664640 is an abundant number, since it is smaller than the sum of its proper divisors (68989922640).

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

23563664640 is a wasteful number, since it uses less digits than its factorization.

23563664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 23563664640 in words is "twenty-three billion, five hundred sixty-three million, six hundred sixty-four thousand, six hundred forty".