23676680640 has 224 divisors, whose sum is σ = 81448899840. Its totient is φ = 5804015616.

The previous prime is 23676680639. The next prime is 23676680647. The reversal of 23676680640 is 4608667632.

It is a super-2 number, since 2×23676680640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23676680640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23676680647) 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 31 ways as a sum of consecutive naturals, for example, 684891 + ... + 718629.

It is an arithmetic number, because the mean of its divisors is an integer number (363611160).

Almost surely, 2^23676680640 is an apocalyptic number.

23676680640 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 23676680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40724449920).

23676680640 is an abundant number, since it is smaller than the sum of its proper divisors (57772219200).

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

23676680640 is a wasteful number, since it uses less digits than its factorization.

23676680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33819 (or 33809 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 23676680640 in words is "twenty-three billion, six hundred seventy-six million, six hundred eighty thousand, six hundred forty".