320072673830625 has 135 divisors (see below), whose sum is σ = 580569182886693. Its totient is φ = 169868862756000.

The previous prime is 320072673830537. The next prime is 320072673830633. The reversal of 320072673830625 is 526038376270023.

The square root of 320072673830625 is 17890575.

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

320072673830625 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 7 + 2 + 6 + 7 + 3 + 8 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25093697628321 + 294978976202304 = 5009361^2 + 17174952^2 .

It is not a de Polignac number, because 320072673830625 - 2¹⁷ = 320072673699553 is a prime.

It is a super-2 number, since 2×320072673830625² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 352891591422 + ... + 352891592328.

Almost surely, 2^{320072673830625} is an apocalyptic number.

320072673830625 is the 17890575-th square number.

320072673830625 is the 8945288-th centered octagonal number.

It is an amenable number.

320072673830625 is a deficient number, since it is larger than the sum of its proper divisors (260496509056068).

320072673830625 is an frugal number, since it uses more digits than its factorization.

320072673830625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 320072673830625 in words is "three hundred twenty trillion, seventy-two billion, six hundred seventy-three million, eight hundred thirty thousand, six hundred twenty-five".