23640872640 has 224 divisors, whose sum is σ = 93581305344. Its totient is φ = 4912373760.

The previous prime is 23640872623. The next prime is 23640872641. The reversal of 23640872640 is 4627804632.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 23640872592 and 23640872601.

It is not an unprimeable number, because it can be changed into a prime (23640872641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85989 + ... + 233828.

Almost surely, 2^23640872640 is an apocalyptic number.

23640872640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23640872640 is an abundant number, since it is smaller than the sum of its proper divisors (69940432704).

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

23640872640 is a wasteful number, since it uses less digits than its factorization.

23640872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319855 (or 319845 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 23640872640 in words is "twenty-three billion, six hundred forty million, eight hundred seventy-two thousand, six hundred forty".