7968330768 has 160 divisors (see below), whose sum is σ = 21769876480. Its totient is φ = 2508226560.

The previous prime is 7968330761. The next prime is 7968330793. The reversal of 7968330768 is 8670338697.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (7968330761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11839680 + ... + 11840352.

It is an arithmetic number, because the mean of its divisors is an integer number (136061728).

Almost surely, 2^7968330768 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 7968330768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10884938240).

7968330768 is an abundant number, since it is smaller than the sum of its proper divisors (13801545712).

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

7968330768 is a wasteful number, since it uses less digits than its factorization.

7968330768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The square root of 7968330768 is about 89265.5071570201. The cubic root of 7968330768 is about 1997.3574072229.

The spelling of 7968330768 in words is "seven billion, nine hundred sixty-eight million, three hundred thirty thousand, seven hundred sixty-eight".