23657428080 has 640 divisors, whose sum is σ = 96473825280. Its totient is φ = 5253120000.

The previous prime is 23657428079. The next prime is 23657428087. The reversal of 23657428080 is 8082475632.

23657428080 is a `hidden beast` number, since 2 + 365 + 7 + 4 + 280 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23657428087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58995880 + ... + 58996280.

It is an arithmetic number, because the mean of its divisors is an integer number (150740352).

Almost surely, 2^23657428080 is an apocalyptic number.

23657428080 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 23657428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48236912640).

23657428080 is an abundant number, since it is smaller than the sum of its proper divisors (72816397200).

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

23657428080 is a wasteful number, since it uses less digits than its factorization.

23657428080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 23657428080 in words is "twenty-three billion, six hundred fifty-seven million, four hundred twenty-eight thousand, eighty".