23679458640 has 240 divisors, whose sum is σ = 83134321920. Its totient is φ = 6028830720.

The previous prime is 23679458639. The next prime is 23679458659. The reversal of 23679458640 is 4685497632.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×23679458640² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12601221 + ... + 12603099.

It is an arithmetic number, because the mean of its divisors is an integer number (346393008).

Almost surely, 2^23679458640 is an apocalyptic number.

23679458640 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 23679458640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41567160960).

23679458640 is an abundant number, since it is smaller than the sum of its proper divisors (59454863280).

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

23679458640 is a wasteful number, since it uses less digits than its factorization.

23679458640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682 (or 2673 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 23679458640 in words is "twenty-three billion, six hundred seventy-nine million, four hundred fifty-eight thousand, six hundred forty".