23729017920 has 448 divisors, whose sum is σ = 81848309760. Its totient is φ = 5806080000.

The previous prime is 23729017861. The next prime is 23729017951. The reversal of 23729017920 is 2971092732.

It is a super-2 number, since 2×23729017920² (a number of 22 digits) contains 22 as substring.

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, 94537795 + ... + 94538045.

It is an arithmetic number, because the mean of its divisors is an integer number (182697120).

Almost surely, 2^23729017920 is an apocalyptic number.

23729017920 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 23729017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40924154880).

23729017920 is an abundant number, since it is smaller than the sum of its proper divisors (58119291840).

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

23729017920 is a wasteful number, since it uses less digits than its factorization.

23729017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 23729017920 in words is "twenty-three billion, seven hundred twenty-nine million, seventeen thousand, nine hundred twenty".