797951316096 has 672 divisors, whose sum is σ = 2711233608300. Its totient is φ = 233369579520.

The previous prime is 797951316089. The next prime is 797951316133. The reversal of 797951316096 is 690613159797.

797951316096 is a `hidden beast` number, since 7 + 9 + 7 + 9 + 5 + 13 + 1 + 609 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 735711045696 + 62240270400 = 857736^2 + 249480^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 83 ways as a sum of consecutive naturals, for example, 327430590 + ... + 327433026.

Almost surely, 2^797951316096 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 797951316096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355616804150).

797951316096 is an abundant number, since it is smaller than the sum of its proper divisors (1913282292204).

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

797951316096 is a wasteful number, since it uses less digits than its factorization.

797951316096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2520 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 19289340, while the sum is 63.

The spelling of 797951316096 in words is "seven hundred ninety-seven billion, nine hundred fifty-one million, three hundred sixteen thousand, ninety-six".