673599374361 has 27 divisors (see below), whose sum is σ = 985733585109. Its totient is φ = 443253832632.

The previous prime is 673599374339. The next prime is 673599374453. The reversal of 673599374361 is 163473995376.

The square root of 673599374361 is 820731.

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

673599374361 is a `hidden beast` number, since 6 + 7 + 3 + 599 + 3 + 7 + 4 + 36 + 1 = 666.

It is not a de Polignac number, because 673599374361 - 2⁷ = 673599374233 is a prime.

It is a super-2 number, since 2×673599374361² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (673599374311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 194511516 + ... + 194514978.

Almost surely, 2^673599374361 is an apocalyptic number.

673599374361 is the 820731-st square number.

673599374361 is the 410366-th centered octagonal number.

It is an amenable number.

673599374361 is a deficient number, since it is larger than the sum of its proper divisors (312134210748).

673599374361 is an frugal number, since it uses more digits than its factorization.

673599374361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 3545 counting only the distinct ones).

The product of its digits is 77157360, while the sum is 63.

The spelling of 673599374361 in words is "six hundred seventy-three billion, five hundred ninety-nine million, three hundred seventy-four thousand, three hundred sixty-one".