23329313280 has 640 divisors, whose sum is σ = 102018470400. Its totient is φ = 4920901632.

The previous prime is 23329313269. The next prime is 23329313321. The reversal of 23329313280 is 8231392332.

23329313280 is a `hidden beast` number, since 2 + 3 + 329 + 3 + 1 + 328 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6288066 + ... + 6291774.

It is an arithmetic number, because the mean of its divisors is an integer number (159403860).

Almost surely, 2^23329313280 is an apocalyptic number.

23329313280 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 23329313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51009235200).

23329313280 is an abundant number, since it is smaller than the sum of its proper divisors (78689157120).

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

23329313280 is a wasteful number, since it uses less digits than its factorization.

23329313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3739 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 23329313280 in words is "twenty-three billion, three hundred twenty-nine million, three hundred thirteen thousand, two hundred eighty".