23679645120 has 336 divisors, whose sum is σ = 86139406080. Its totient is φ = 5960908800.

The previous prime is 23679645091. The next prime is 23679645127. The reversal of 23679645120 is 2154697632.

23679645120 is a `hidden beast` number, since 2 + 3 + 6 + 79 + 64 + 512 + 0 = 666.

It is a super-3 number, since 3×23679645120³ (a number of 32 digits) contains 333 as substring.

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 (23679645127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3657246 + ... + 3663714.

It is an arithmetic number, because the mean of its divisors is an integer number (256367280).

Almost surely, 2^23679645120 is an apocalyptic number.

23679645120 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 23679645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43069703040).

23679645120 is an abundant number, since it is smaller than the sum of its proper divisors (62459760960).

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

23679645120 is a wasteful number, since it uses less digits than its factorization.

23679645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6564 (or 6551 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 23679645120 in words is "twenty-three billion, six hundred seventy-nine million, six hundred forty-five thousand, one hundred twenty".