15968577664 has 256 divisors, whose sum is σ = 37616947200. Its totient is φ = 6688604160.

The previous prime is 15968577659. The next prime is 15968577671. The reversal of 15968577664 is 46677586951.

It is a super-2 number, since 2×15968577664² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 15968577596 and 15968577605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125736769 + ... + 125736895.

It is an arithmetic number, because the mean of its divisors is an integer number (146941200).

Almost surely, 2^15968577664 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 15968577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808473600).

15968577664 is an abundant number, since it is smaller than the sum of its proper divisors (21648369536).

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

15968577664 is a wasteful number, since it uses less digits than its factorization.

15968577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 64.

The spelling of 15968577664 in words is "fifteen billion, nine hundred sixty-eight million, five hundred seventy-seven thousand, six hundred sixty-four".