23641607808 has 384 divisors, whose sum is σ = 87419304000. Its totient is φ = 6234568704.

The previous prime is 23641607783. The next prime is 23641607813. The reversal of 23641607808 is 80870614632.

23641607808 is a `hidden beast` number, since 2 + 36 + 4 + 1 + 607 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2196103 + ... + 2206841.

Almost surely, 2^23641607808 is an apocalyptic number.

23641607808 is a gapful number since it is divisible by the number (28) 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 23641607808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43709652000).

23641607808 is an abundant number, since it is smaller than the sum of its proper divisors (63777696192).

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

23641607808 is a wasteful number, since it uses less digits than its factorization.

23641607808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10789 (or 10764 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 23641607808 in words is "twenty-three billion, six hundred forty-one million, six hundred seven thousand, eight hundred eight".