23460133680 has 240 divisors, whose sum is σ = 81970316064. Its totient is φ = 6235729920.

The previous prime is 23460133591. The next prime is 23460133687. The reversal of 23460133680 is 8633106432.

23460133680 is a `hidden beast` number, since 2 + 3 + 460 + 133 + 68 + 0 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (23460133687) 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, 6549490 + ... + 6553070.

Almost surely, 2^23460133680 is an apocalyptic number.

23460133680 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 23460133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40985158032).

23460133680 is an abundant number, since it is smaller than the sum of its proper divisors (58510182384).

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

23460133680 is a wasteful number, since it uses less digits than its factorization.

23460133680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 23460133680 in words is "twenty-three billion, four hundred sixty million, one hundred thirty-three thousand, six hundred eighty".