23641596960 has 384 divisors, whose sum is σ = 82427756544. Its totient is φ = 5675028480.

The previous prime is 23641596889. The next prime is 23641596961. The reversal of 23641596960 is 6969514632.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (23641596961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12661947 + ... + 12663813.

It is an arithmetic number, because the mean of its divisors is an integer number (214655616).

Almost surely, 2^23641596960 is an apocalyptic number.

23641596960 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 23641596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41213878272).

23641596960 is an abundant number, since it is smaller than the sum of its proper divisors (58786159584).

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

23641596960 is a wasteful number, since it uses less digits than its factorization.

23641596960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1976 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 51.

The spelling of 23641596960 in words is "twenty-three billion, six hundred forty-one million, five hundred ninety-six thousand, nine hundred sixty".