677939803641 has 9 divisors (see below), whose sum is σ = 979249950991. Its totient is φ = 451958222352.

The previous prime is 677939803591. The next prime is 677939803679. The reversal of 677939803641 is 146308939776.

The square root of 677939803641 is 823371.

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., 534529143225 + 143410660416 = 731115^2 + 378696^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 677939803641 - 2³³ = 669349869049 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (677939803741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2332885 + ... + 2607341.

Almost surely, 2^677939803641 is an apocalyptic number.

677939803641 is the 823371-st square number.

677939803641 is the 411686-th centered octagonal number.

It is an amenable number.

677939803641 is a deficient number, since it is larger than the sum of its proper divisors (301310147350).

677939803641 is an frugal number, since it uses more digits than its factorization.

677939803641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548920 (or 274460 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 677939803641 in words is "six hundred seventy-seven billion, nine hundred thirty-nine million, eight hundred three thousand, six hundred forty-one".