23705032320 has 640 divisors, whose sum is σ = 91439409600. Its totient is φ = 5832622080.

The previous prime is 23705032259. The next prime is 23705032327. The reversal of 23705032320 is 2323050732.

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 (27).

It is not an unprimeable number, because it can be changed into a prime (23705032327) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40383067 + ... + 40383653.

Almost surely, 2^23705032320 is an apocalyptic number.

23705032320 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 23705032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45719704800).

23705032320 is an abundant number, since it is smaller than the sum of its proper divisors (67734377280).

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

23705032320 is a wasteful number, since it uses less digits than its factorization.

23705032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The spelling of 23705032320 in words is "twenty-three billion, seven hundred five million, thirty-two thousand, three hundred twenty".