23868440640 has 1008 divisors, whose sum is σ = 99562310400. Its totient is φ = 5376983040.

The previous prime is 23868440621. The next prime is 23868440653. The reversal of 23868440640 is 4604486832.

23868440640 is a `hidden beast` number, since 238 + 6 + 8 + 4 + 406 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 302132121 + ... + 302132199.

Almost surely, 2^23868440640 is an apocalyptic number.

23868440640 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 23868440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49781155200).

23868440640 is an abundant number, since it is smaller than the sum of its proper divisors (75693869760).

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

23868440640 is a wasteful number, since it uses less digits than its factorization.

23868440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 23868440640 in words is "twenty-three billion, eight hundred sixty-eight million, four hundred forty thousand, six hundred forty".