23245964707680 has 3072 divisors, whose sum is σ = 107491442688000. Its totient is φ = 4602595737600.

The previous prime is 23245964707633. The next prime is 23245964707783. The reversal of 23245964707680 is 8670746954232.

23245964707680 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 5 + 96 + 470 + 76 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 10551957459 + ... + 10551959661.

It is an arithmetic number, because the mean of its divisors is an integer number (34990704000).

Almost surely, 2^{23245964707680} is an apocalyptic number.

23245964707680 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 23245964707680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53745721344000).

23245964707680 is an abundant number, since it is smaller than the sum of its proper divisors (84245477980320).

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

23245964707680 is a wasteful number, since it uses less digits than its factorization.

23245964707680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 23245964707680 in words is "twenty-three trillion, two hundred forty-five billion, nine hundred sixty-four million, seven hundred seven thousand, six hundred eighty".