23786676960 has 384 divisors, whose sum is σ = 80704512000. Its totient is φ = 5875752960.

The previous prime is 23786676917. The next prime is 23786677001. The reversal of 23786676960 is 6967668732.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 23786676894 and 23786676903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 85872342 + ... + 85872618.

It is an arithmetic number, because the mean of its divisors is an integer number (210168000).

Almost surely, 2^23786676960 is an apocalyptic number.

23786676960 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 23786676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40352256000).

23786676960 is an abundant number, since it is smaller than the sum of its proper divisors (56917835040).

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

23786676960 is a wasteful number, since it uses less digits than its factorization.

23786676960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 23786676960 in words is "twenty-three billion, seven hundred eighty-six million, six hundred seventy-six thousand, nine hundred sixty".