23630745600 has 1560 divisors, whose sum is σ = 112082760768. Its totient is φ = 4777574400.

The previous prime is 23630745581. The next prime is 23630745631. The reversal of 23630745600 is 654703632.

23630745600 is a `hidden beast` number, since 2 + 3 + 6 + 3 + 0 + 7 + 45 + 600 = 666.

It is a super-2 number, since 2×23630745600² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 638668782 + ... + 638668818.

Almost surely, 2^23630745600 is an apocalyptic number.

23630745600 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 23630745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56041380384).

23630745600 is an abundant number, since it is smaller than the sum of its proper divisors (88452015168).

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

23630745600 is a wasteful number, since it uses less digits than its factorization.

23630745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 23630745600 in words is "twenty-three billion, six hundred thirty million, seven hundred forty-five thousand, six hundred".