705640320576 has 147 divisors (see below), whose sum is σ = 2099962097121. Its totient is φ = 235152958464.

The previous prime is 705640320569. The next prime is 705640320599. The reversal of 705640320576 is 675023046507.

The square root of 705640320576 is 840024.

It is a perfect power (a square), and thus also a powerful number.

705640320576 is a `hidden beast` number, since 7 + 0 + 5 + 6 + 40 + 32 + 0 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 511476710976 + 194163609600 = 715176^2 + 440640^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 181443240 + ... + 181447128.

It is an arithmetic number, because the mean of its divisors is an integer number (14285456443).

Almost surely, 2^705640320576 is an apocalyptic number.

705640320576 is the 840024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 705640320576

705640320576 is an abundant number, since it is smaller than the sum of its proper divisors (1394321776545).

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

705640320576 is an frugal number, since it uses more digits than its factorization.

705640320576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7808 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 705640320576 in words is "seven hundred five billion, six hundred forty million, three hundred twenty thousand, five hundred seventy-six".