23640871834624 has 176 divisors, whose sum is σ = 53882546921280. Its totient is φ = 10268328591360.

The previous prime is 23640871834609. The next prime is 23640871834637. The reversal of 23640871834624 is 42643817804632.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×23640871834624² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31312579 + ... + 32058685.

It is an arithmetic number, because the mean of its divisors is an integer number (306150834780).

Almost surely, 2^{23640871834624} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23640871834624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26941273460640).

23640871834624 is an abundant number, since it is smaller than the sum of its proper divisors (30241675086656).

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

23640871834624 is a wasteful number, since it uses less digits than its factorization.

23640871834624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746264 (or 746246 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 58.

The spelling of 23640871834624 in words is "twenty-three trillion, six hundred forty billion, eight hundred seventy-one million, eight hundred thirty-four thousand, six hundred twenty-four".