647579106729 has 27 divisors (see below), whose sum is σ = 939486312453. Its totient is φ = 429837962112.

The previous prime is 647579106673. The next prime is 647579106833. The reversal of 647579106729 is 927601975746.

The square root of 647579106729 is 804723.

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

647579106729 is a `hidden beast` number, since 6 + 47 + 579 + 10 + 6 + 7 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24110946729 + 623468160000 = 155277^2 + 789600^2 .

It is not a de Polignac number, because 647579106729 - 2²¹ = 647577009577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (647579116729) 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 26 ways as a sum of consecutive naturals, for example, 755634469 + ... + 755635325.

Almost surely, 2^647579106729 is an apocalyptic number.

647579106729 is the 804723-rd square number.

647579106729 is the 402362-nd centered octagonal number.

It is an amenable number.

647579106729 is a deficient number, since it is larger than the sum of its proper divisors (291907205724).

647579106729 is an frugal number, since it uses more digits than its factorization.

647579106729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 647579106729 in words is "six hundred forty-seven billion, five hundred seventy-nine million, one hundred six thousand, seven hundred twenty-nine".