677373442729 has 9 divisors (see below), whose sum is σ = 680106139191. Its totient is φ = 674651692440.

The previous prime is 677373442699. The next prime is 677373442741. The reversal of 677373442729 is 927244373776.

The square root of 677373442729 is 823027.

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., 573722928025 + 103650514704 = 757445^2 + 321948^2 .

It is not a de Polignac number, because 677373442729 - 2¹³ = 677373434537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (677373442799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 223038799 + ... + 223041835.

It is an arithmetic number, because the mean of its divisors is an integer number (75567348799).

Almost surely, 2^677373442729 is an apocalyptic number.

677373442729 is the 823027-th square number.

677373442729 is the 411514-th centered octagonal number.

It is an amenable number.

677373442729 is a deficient number, since it is larger than the sum of its proper divisors (2732696462).

677373442729 is an frugal number, since it uses more digits than its factorization.

677373442729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6616 (or 3308 counting only the distinct ones).

The product of its digits is 74680704, while the sum is 61.

The spelling of 677373442729 in words is "six hundred seventy-seven billion, three hundred seventy-three million, four hundred forty-two thousand, seven hundred twenty-nine".