673842332641 has 27 divisors (see below), whose sum is σ = 724073549241. Its totient is φ = 626967679104.

The previous prime is 673842332591. The next prime is 673842332659. The reversal of 673842332641 is 146233248376.

The square root of 673842332641 is 820879.

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 153707123025 + 520135209616 = 392055^2 + 721204^2 .

It is not a de Polignac number, because 673842332641 - 2⁹ = 673842332129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (673842332741) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1521088566 + ... + 1521089008.

Almost surely, 2^673842332641 is an apocalyptic number.

673842332641 is the 820879-th square number.

673842332641 is the 410440-th centered octagonal number.

It is an amenable number.

673842332641 is a deficient number, since it is larger than the sum of its proper divisors (50231216600).

673842332641 is an frugal number, since it uses more digits than its factorization.

673842332641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 569 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 49.

Multiplying 673842332641 by its sum of digits (49), we get a square (33018274299409 = 5746153²).

The spelling of 673842332641 in words is "six hundred seventy-three billion, eight hundred forty-two million, three hundred thirty-two thousand, six hundred forty-one".