7966389960 has 192 divisors, whose sum is σ = 26875238400. Its totient is φ = 2098897920.

The previous prime is 7966389919. The next prime is 7966389979. The reversal of 7966389960 is 699836697.

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 47 ways as a sum of consecutive naturals, for example, 33055440 + ... + 33055680.

It is an arithmetic number, because the mean of its divisors is an integer number (139975200).

Almost surely, 2^7966389960 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 7966389960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13437619200).

7966389960 is an abundant number, since it is smaller than the sum of its proper divisors (18908848440).

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

7966389960 is a wasteful number, since it uses less digits than its factorization.

7966389960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The square root of 7966389960 is about 89254.6355098714. The cubic root of 7966389960 is about 1997.1952318097.

The spelling of 7966389960 in words is "seven billion, nine hundred sixty-six million, three hundred eighty-nine thousand, nine hundred sixty".