677893695649 has 9 divisors (see below), whose sum is σ = 679556798067. Its totient is φ = 676234659504.

The previous prime is 677893695637. The next prime is 677893695671. The reversal of 677893695649 is 946596398776.

It is a happy number.

The square root of 677893695649 is 823343.

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., 111727742049 + 566165953600 = 334257^2 + 752440^2 .

It is not a de Polignac number, because 677893695649 - 2²⁹ = 677356824737 is a prime.

It is a super-3 number, since 3×677893695649³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

Its product of digits (3703553280) is a multiple of the sum of its prime divisors (2016).

It is not an unprimeable number, because it can be changed into a prime (677893692649) 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, 468481444 + ... + 468482890.

Almost surely, 2^677893695649 is an apocalyptic number.

677893695649 is the 823343-rd square number.

677893695649 is the 411672-nd centered octagonal number.

It is an amenable number.

677893695649 is a deficient number, since it is larger than the sum of its proper divisors (1663102418).

677893695649 is an frugal number, since it uses more digits than its factorization.

677893695649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 2016 counting only the distinct ones).

The product of its digits is 3703553280, while the sum is 79.

The spelling of 677893695649 in words is "six hundred seventy-seven billion, eight hundred ninety-three million, six hundred ninety-five thousand, six hundred forty-nine".