7966832368 has 80 divisors (see below), whose sum is σ = 17643370752. Its totient is φ = 3449600000.

The previous prime is 7966832311. The next prime is 7966832381. The reversal of 7966832368 is 8632386697.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012128 + ... + 1019968.

Almost surely, 2^7966832368 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 7966832368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8821685376).

7966832368 is an abundant number, since it is smaller than the sum of its proper divisors (9676538384).

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

7966832368 is a wasteful number, since it uses less digits than its factorization.

7966832368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134 (or 8128 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 58.

The square root of 7966832368 is about 89257.1138229329. The cubic root of 7966832368 is about 1997.2322020809.

The spelling of 7966832368 in words is "seven billion, nine hundred sixty-six million, eight hundred thirty-two thousand, three hundred sixty-eight".