705261227968 has 112 divisors (see below), whose sum is σ = 1538548408800. Its totient is φ = 318096281600.

The previous prime is 705261227963. The next prime is 705261227971. The reversal of 705261227968 is 869722162507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705261227963) 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 15 ways as a sum of consecutive naturals, for example, 123879330 + ... + 123885022.

Almost surely, 2^705261227968 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 705261227968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769274204400).

705261227968 is an abundant number, since it is smaller than the sum of its proper divisors (833287180832).

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

705261227968 is a wasteful number, since it uses less digits than its factorization.

705261227968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7046 (or 7036 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 55.

The spelling of 705261227968 in words is "seven hundred five billion, two hundred sixty-one million, two hundred twenty-seven thousand, nine hundred sixty-eight".