705581768256 has 448 divisors, whose sum is σ = 2000638144512. Its totient is φ = 219212218368.

The previous prime is 705581768237. The next prime is 705581768257. The reversal of 705581768256 is 652867185507.

It is a self number, because there is not a number n which added to its sum of digits gives 705581768256.

It is not an unprimeable number, because it can be changed into a prime (705581768257) 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 63 ways as a sum of consecutive naturals, for example, 3108289615 + ... + 3108289841.

It is an arithmetic number, because the mean of its divisors is an integer number (4465710144).

Almost surely, 2^705581768256 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 705581768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000319072256).

705581768256 is an abundant number, since it is smaller than the sum of its proper divisors (1295056376256).

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

705581768256 is a wasteful number, since it uses less digits than its factorization.

705581768256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 60.

The spelling of 705581768256 in words is "seven hundred five billion, five hundred eighty-one million, seven hundred sixty-eight thousand, two hundred fifty-six".