23683631872680 has 1024 divisors, whose sum is σ = 91100486937600. Its totient is φ = 5421219840000.

The previous prime is 23683631872679. The next prime is 23683631872699. The reversal of 23683631872680 is 8627813638632.

23683631872680 is a `hidden beast` number, since 2 + 3 + 6 + 8 + 363 + 1 + 8 + 7 + 268 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18345182835 + ... + 18345184125.

It is an arithmetic number, because the mean of its divisors is an integer number (88965319275).

Almost surely, 2^{23683631872680} is an apocalyptic number.

23683631872680 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 23683631872680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45550243468800).

23683631872680 is an abundant number, since it is smaller than the sum of its proper divisors (67416855064920).

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

23683631872680 is a wasteful number, since it uses less digits than its factorization.

23683631872680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2203 (or 2193 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 23683631872680 in words is "twenty-three trillion, six hundred eighty-three billion, six hundred thirty-one million, eight hundred seventy-two thousand, six hundred eighty".