23840417664 has 480 divisors, whose sum is σ = 83321829360. Its totient is φ = 6746664960.

The previous prime is 23840417633. The next prime is 23840417707. The reversal of 23840417664 is 46671404832.

23840417664 is a `hidden beast` number, since 238 + 404 + 1 + 7 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 84841204 + ... + 84841484.

Almost surely, 2^23840417664 is an apocalyptic number.

23840417664 is a gapful number since it is divisible by the number (24) 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 23840417664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41660914680).

23840417664 is an abundant number, since it is smaller than the sum of its proper divisors (59481411696).

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

23840417664 is a wasteful number, since it uses less digits than its factorization.

23840417664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 23840417664 in words is "twenty-three billion, eight hundred forty million, four hundred seventeen thousand, six hundred sixty-four".