15968068704 has 192 divisors, whose sum is σ = 53414484480. Its totient is φ = 4546229760.

The previous prime is 15968068667. The next prime is 15968068723. The reversal of 15968068704 is 40786086951.

15968068704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1767559 + ... + 1776569.

It is an arithmetic number, because the mean of its divisors is an integer number (278200440).

Almost surely, 2^15968068704 is an apocalyptic number.

15968068704 is a gapful number since it is divisible by the number (14) 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 15968068704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26707242240).

15968068704 is an abundant number, since it is smaller than the sum of its proper divisors (37446415776).

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

15968068704 is a wasteful number, since it uses less digits than its factorization.

15968068704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9330 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 15968068704 in words is "fifteen billion, nine hundred sixty-eight million, sixty-eight thousand, seven hundred four".