705488752672 has 96 divisors (see below), whose sum is σ = 1568074878720. Its totient is φ = 309494599680.

The previous prime is 705488752663. The next prime is 705488752679. The reversal of 705488752672 is 276257884507.

It is a self number, because there is not a number n which added to its sum of digits gives 705488752672.

It is not an unprimeable number, because it can be changed into a prime (705488752679) 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, 28233048 + ... + 28258024.

It is an arithmetic number, because the mean of its divisors is an integer number (16334113320).

Almost surely, 2^705488752672 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 705488752672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784037439360).

705488752672 is an abundant number, since it is smaller than the sum of its proper divisors (862586126048).

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

705488752672 is a wasteful number, since it uses less digits than its factorization.

705488752672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27794 (or 27786 counting only the distinct ones).

The product of its (nonzero) digits is 52684800, while the sum is 61.

The spelling of 705488752672 in words is "seven hundred five billion, four hundred eighty-eight million, seven hundred fifty-two thousand, six hundred seventy-two".