5968641810768 has 320 divisors, whose sum is σ = 21151086243840. Its totient is φ = 1403573723136.

The previous prime is 5968641810757. The next prime is 5968641810799. The reversal of 5968641810768 is 8670181468695.

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, 704380 + ... + 3526107.

It is an arithmetic number, because the mean of its divisors is an integer number (66097144512).

Almost surely, 2^{5968641810768} 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 5968641810768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575543121920).

5968641810768 is an abundant number, since it is smaller than the sum of its proper divisors (15182444433072).

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

5968641810768 is a wasteful number, since it uses less digits than its factorization.

5968641810768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4230554 (or 4230548 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 69.

The spelling of 5968641810768 in words is "five trillion, nine hundred sixty-eight billion, six hundred forty-one million, eight hundred ten thousand, seven hundred sixty-eight".