672037608841 has 27 divisors (see below), whose sum is σ = 695604735189. Its totient is φ = 649264968000.

The previous prime is 672037608791. The next prime is 672037608857. The reversal of 672037608841 is 148806730276.

The square root of 672037608841 is 819779.

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

It can be written as a sum of positive squares in 4 ways, for example, as 435627720441 + 236409888400 = 660021^2 + 486220^2 .

It is not a de Polignac number, because 672037608841 - 2⁷ = 672037608713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (672037608871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4450580116 + ... + 4450580266.

Almost surely, 2^672037608841 is an apocalyptic number.

672037608841 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

672037608841 is the 819779-th square number.

672037608841 is the 409890-th centered octagonal number.

It is an amenable number.

672037608841 is a deficient number, since it is larger than the sum of its proper divisors (23567126348).

672037608841 is an frugal number, since it uses more digits than its factorization.

672037608841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 672037608841 in words is "six hundred seventy-two billion, thirty-seven million, six hundred eight thousand, eight hundred forty-one".