677416240809 has 135 divisors (see below), whose sum is σ = 1257180782039. Its totient is φ = 351213176160.

The previous prime is 677416240751. The next prime is 677416240843. The reversal of 677416240809 is 908042614776.

The square root of 677416240809 is 823053.

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

677416240809 is a `hidden beast` number, since 6 + 7 + 7 + 4 + 1 + 624 + 0 + 8 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 550865293209 + 126550947600 = 742203^2 + 355740^2 .

It is not a de Polignac number, because 677416240809 - 2⁷ = 677416240681 is a prime.

It is not an unprimeable number, because it can be changed into a prime (677416245809) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1330876447 + ... + 1330876955.

Almost surely, 2^677416240809 is an apocalyptic number.

677416240809 is the 823053-rd square number.

677416240809 is the 411527-th centered octagonal number.

It is an amenable number.

677416240809 is a deficient number, since it is larger than the sum of its proper divisors (579764541230).

677416240809 is an frugal number, since it uses more digits than its factorization.

677416240809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 677416240809 in words is "six hundred seventy-seven billion, four hundred sixteen million, two hundred forty thousand, eight hundred nine".