36682591729 has 9 divisors (see below), whose sum is σ = 42673145931. Its totient is φ = 31441072320.

The previous prime is 36682591709. The next prime is 36682591853. The reversal of 36682591729 is 92719528663.

The square root of 36682591729 is 191527.

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., 22253777329 + 14428814400 = 149177^2 + 120120^2 .

It is not a de Polignac number, because 36682591729 - 2⁵ = 36682591697 is a prime.

It is a super-2 number, since 2×36682591729² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36682591709) 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, 1327009 + ... + 1354369.

It is an arithmetic number, because the mean of its divisors is an integer number (4741460659).

Almost surely, 2^36682591729 is an apocalyptic number.

36682591729 is the 191527-th square number.

36682591729 is the 95764-th centered octagonal number.

It is an amenable number.

36682591729 is a deficient number, since it is larger than the sum of its proper divisors (5990554202).

36682591729 is an frugal number, since it uses more digits than its factorization.

36682591729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54736 (or 27368 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 58.

The spelling of 36682591729 in words is "thirty-six billion, six hundred eighty-two million, five hundred ninety-one thousand, seven hundred twenty-nine".