791781135264 has 960 divisors, whose sum is σ = 2825130147840. Its totient is φ = 212818544640.

The previous prime is 791781135263. The next prime is 791781135269. The reversal of 791781135264 is 462531187197.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 791781135264.

It is not an unprimeable number, because it can be changed into a prime (791781135263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4576769482 + ... + 4576769654.

It is an arithmetic number, because the mean of its divisors is an integer number (2942843904).

Almost surely, 2^791781135264 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 791781135264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412565073920).

791781135264 is an abundant number, since it is smaller than the sum of its proper divisors (2033349012576).

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

791781135264 is a wasteful number, since it uses less digits than its factorization.

791781135264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 398 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 791781135264 in words is "seven hundred ninety-one billion, seven hundred eighty-one million, one hundred thirty-five thousand, two hundred sixty-four".