23475640320 has 960 divisors, whose sum is σ = 95896120320. Its totient is φ = 5441126400.

The previous prime is 23475640319. The next prime is 23475640327. The reversal of 23475640320 is 2304657432.

23475640320 is a `hidden beast` number, since 2 + 3 + 4 + 7 + 5 + 640 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×23475640320² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23475640327) 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, 282838999 + ... + 282839081.

It is an arithmetic number, because the mean of its divisors is an integer number (99891792).

Almost surely, 2^23475640320 is an apocalyptic number.

23475640320 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 23475640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47948060160).

23475640320 is an abundant number, since it is smaller than the sum of its proper divisors (72420480000).

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

23475640320 is a wasteful number, since it uses less digits than its factorization.

23475640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The spelling of 23475640320 in words is "twenty-three billion, four hundred seventy-five million, six hundred forty thousand, three hundred twenty".