6826229641 has 81 divisors (see below), whose sum is σ = 9290492757. Its totient is φ = 4996918080.

The previous prime is 6826229603. The next prime is 6826229651. The reversal of 6826229641 is 1469226286.

6826229641 = 1³ + 2³ + ... + 406³.

The square root of 6826229641 is 82621.

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

6826229641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1452753225 + 5373476416 = 38115^2 + 73304^2 .

It is not a de Polignac number, because 6826229641 - 2¹¹ = 6826227593 is a prime.

It is a super-2 number, since 2×6826229641² = 93194822223333977762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6826229591 and 6826229600.

It is not an unprimeable number, because it can be changed into a prime (6826229651) 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 80 ways as a sum of consecutive naturals, for example, 184492675 + ... + 184492711.

Almost surely, 2^6826229641 is an apocalyptic number.

6826229641 is the 82621-st square number.

6826229641 is the 41311-st centered octagonal number.

It is an amenable number.

6826229641 is a deficient number, since it is larger than the sum of its proper divisors (2464263116).

6826229641 is a wasteful number, since it uses less digits than its factorization.

6826229641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 84 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The cubic root of 6826229641 is about 1896.9692809666.

It can be divided in two parts, 68262 and 29641, that added together give a triangular number (97903 = T₄₄₂).

The spelling of 6826229641 in words is "six billion, eight hundred twenty-six million, two hundred twenty-nine thousand, six hundred forty-one".