23968172640 has 384 divisors, whose sum is σ = 79535167488. Its totient is φ = 6062284800.

The previous prime is 23968172621. The next prime is 23968172651. The reversal of 23968172640 is 4627186932.

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 23968172640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152663442 + ... + 152663598.

It is an arithmetic number, because the mean of its divisors is an integer number (207122832).

Almost surely, 2^23968172640 is an apocalyptic number.

23968172640 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 23968172640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39767583744).

23968172640 is an abundant number, since it is smaller than the sum of its proper divisors (55566994848).

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

23968172640 is a wasteful number, since it uses less digits than its factorization.

23968172640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 23968172640 in words is "twenty-three billion, nine hundred sixty-eight million, one hundred seventy-two thousand, six hundred forty".