791394193728 has 280 divisors, whose sum is σ = 2405687745384. Its totient is φ = 257093222400.

The previous prime is 791394193721. The next prime is 791394193757. The reversal of 791394193728 is 827391493197.

791394193728 is a `hidden beast` number, since 7 + 91 + 394 + 1 + 93 + 72 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43778029824 + 747616163904 = 209232^2 + 864648^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791394193721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344532676 + ... + 344534972.

Almost surely, 2^791394193728 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 791394193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202843872692).

791394193728 is an abundant number, since it is smaller than the sum of its proper divisors (1614293551656).

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

791394193728 is a wasteful number, since it uses less digits than its factorization.

791394193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3964 counting only the distinct ones).

The product of its digits is 20575296, while the sum is 63.

The spelling of 791394193728 in words is "seven hundred ninety-one billion, three hundred ninety-four million, one hundred ninety-three thousand, seven hundred twenty-eight".