793434678027264 has 2112 divisors, whose sum is σ = 2956633846566400. Its totient is φ = 203527535984640.

The previous prime is 793434678027227. The next prime is 793434678027269. The reversal of 793434678027264 is 462720876434397.

793434678027264 is a `hidden beast` number, since 7 + 9 + 3 + 4 + 3 + 467 + 80 + 27 + 2 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 793434678027192 and 793434678027201.

It is not an unprimeable number, because it can be changed into a prime (793434678027269) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 489472348374 + ... + 489472349994.

Almost surely, 2^{793434678027264} 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 793434678027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478316923283200).

793434678027264 is an abundant number, since it is smaller than the sum of its proper divisors (2163199168539136).

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

793434678027264 is a wasteful number, since it uses less digits than its factorization.

793434678027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 72.

The spelling of 793434678027264 in words is "seven hundred ninety-three trillion, four hundred thirty-four billion, six hundred seventy-eight million, twenty-seven thousand, two hundred sixty-four".