672746084521 has 45 divisors (see below), whose sum is σ = 829245525783. Its totient is φ = 545669974080.

The previous prime is 672746084453. The next prime is 672746084573. The reversal of 672746084521 is 125480647276.

The square root of 672746084521 is 820211.

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

It can be written as a sum of positive squares in only one way, i.e., 118019044521 + 554727040000 = 343539^2 + 744800^2 .

It is not a de Polignac number, because 672746084521 - 2⁷ = 672746084393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (672746085521) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 763616001 + ... + 763616881.

Almost surely, 2^672746084521 is an apocalyptic number.

672746084521 is the 820211-st square number.

672746084521 is the 410106-th centered octagonal number.

It is an amenable number.

672746084521 is a deficient number, since it is larger than the sum of its proper divisors (156499441262).

672746084521 is an frugal number, since it uses more digits than its factorization.

672746084521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 672746084521 in words is "six hundred seventy-two billion, seven hundred forty-six million, eighty-four thousand, five hundred twenty-one".