6810705729 has 9 divisors (see below), whose sum is σ = 9838043683. Its totient is φ = 4540305432.

The previous prime is 6810705703. The next prime is 6810705731. The reversal of 6810705729 is 9275070186.

The square root of 6810705729 is 82527.

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

6810705729 is a `hidden beast` number, since 6 + 8 + 1 + 0 + 70 + 572 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 356190129 + 6454515600 = 18873^2 + 80340^2 .

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

It is not a de Polignac number, because 6810705729 - 2²³ = 6802317121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6810705739) 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, 233827 + ... + 261335.

Almost surely, 2^6810705729 is an apocalyptic number.

6810705729 is the 82527-th square number.

6810705729 is the 41264-th centered octagonal number.

It is an amenable number.

6810705729 is a deficient number, since it is larger than the sum of its proper divisors (3027337954).

6810705729 is an frugal number, since it uses more digits than its factorization.

6810705729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55024 (or 27512 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The cubic root of 6810705729 is about 1895.5301880662.

The spelling of 6810705729 in words is "six billion, eight hundred ten million, seven hundred five thousand, seven hundred twenty-nine".