793642268376 has 320 divisors, whose sum is σ = 2424640204800. Its totient is φ = 241612761600.

The previous prime is 793642268351. The next prime is 793642268387. The reversal of 793642268376 is 673862246397.

793642268376 is a `hidden beast` number, since 7 + 9 + 36 + 4 + 226 + 8 + 376 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 103429276 + ... + 103436948.

It is an arithmetic number, because the mean of its divisors is an integer number (7577000640).

Almost surely, 2^793642268376 is an apocalyptic number.

793642268376 is a gapful number since it is divisible by the number (76) 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 793642268376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212320102400).

793642268376 is an abundant number, since it is smaller than the sum of its proper divisors (1630997936424).

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

793642268376 is a wasteful number, since it uses less digits than its factorization.

793642268376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8012 (or 7999 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 63.

The spelling of 793642268376 in words is "seven hundred ninety-three billion, six hundred forty-two million, two hundred sixty-eight thousand, three hundred seventy-six".