23684608720 has 80 divisors (see below), whose sum is σ = 56601533520. Its totient is φ = 9210212352.

The previous prime is 23684608697. The next prime is 23684608721. The reversal of 23684608720 is 2780648632.

It can be written as a sum of positive squares in 8 ways, for example, as 6468019776 + 17216588944 = 80424^2 + 131212^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23684608721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4760154 + ... + 4765126.

It is an arithmetic number, because the mean of its divisors is an integer number (707519169).

Almost surely, 2^23684608720 is an apocalyptic number.

23684608720 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 23684608720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28300766760).

23684608720 is an abundant number, since it is smaller than the sum of its proper divisors (32916924800).

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

23684608720 is a wasteful number, since it uses less digits than its factorization.

23684608720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6632 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 23684608720 in words is "twenty-three billion, six hundred eighty-four million, six hundred eight thousand, seven hundred twenty".