705485879680 has 128 divisors (see below), whose sum is σ = 1707223082400. Its totient is φ = 278751559680.

The previous prime is 705485879591. The next prime is 705485879689. The reversal of 705485879680 is 86978584507.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (705485879689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23075284 + ... + 23105836.

Almost surely, 2^705485879680 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 705485879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853611541200).

705485879680 is an abundant number, since it is smaller than the sum of its proper divisors (1001737202720).

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

705485879680 is a wasteful number, since it uses less digits than its factorization.

705485879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31012 (or 31000 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 67.

The spelling of 705485879680 in words is "seven hundred five billion, four hundred eighty-five million, eight hundred seventy-nine thousand, six hundred eighty".