793968544512 has 432 divisors, whose sum is σ = 2693135547648. Its totient is φ = 221782302720.

The previous prime is 793968544511. The next prime is 793968544529. The reversal of 793968544512 is 215445869397.

793968544512 is a `hidden beast` number, since 7 + 9 + 3 + 9 + 68 + 54 + 4 + 512 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 793968544512.

It is not an unprimeable number, because it can be changed into a prime (793968544511) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 350227603 + ... + 350229869.

It is an arithmetic number, because the mean of its divisors is an integer number (6234110064).

Almost surely, 2^793968544512 is an apocalyptic number.

793968544512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 793968544512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346567773824).

793968544512 is an abundant number, since it is smaller than the sum of its proper divisors (1899167003136).

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

793968544512 is a wasteful number, since it uses less digits than its factorization.

793968544512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3359 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 793968544512 in words is "seven hundred ninety-three billion, nine hundred sixty-eight million, five hundred forty-four thousand, five hundred twelve".