6335682409 has 27 divisors (see below), whose sum is σ = 7514795127. Its totient is φ = 5325994464.

The previous prime is 6335682407. The next prime is 6335682421. The reversal of 6335682409 is 9042865336.

It is a happy number.

The square root of 6335682409 is 79597.

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., 3721610025 + 2614072384 = 61005^2 + 51128^2 .

It is not a de Polignac number, because 6335682409 - 2¹ = 6335682407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6335682407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46245789 + ... + 46245925.

Almost surely, 2^6335682409 is an apocalyptic number.

6335682409 is the 79597-th square number.

6335682409 is the 39799-th centered octagonal number.

It is an amenable number.

6335682409 is a deficient number, since it is larger than the sum of its proper divisors (1179112718).

6335682409 is an frugal number, since it uses more digits than its factorization.

6335682409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The cubic root of 6335682409 is about 1850.3950857194.

The spelling of 6335682409 in words is "six billion, three hundred thirty-five million, six hundred eighty-two thousand, four hundred nine".