6826182363 has 256 divisors, whose sum is σ = 14631321600. Its totient is φ = 3026626560.

The previous prime is 6826182359. The next prime is 6826182403. The reversal of 6826182363 is 3632816286.

It is a happy number.

6826182363 is a `hidden beast` number, since 6 + 8 + 2 + 618 + 23 + 6 + 3 = 666.

It is not a de Polignac number, because 6826182363 - 2² = 6826182359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6826182163) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38135008 + ... + 38135186.

It is an arithmetic number, because the mean of its divisors is an integer number (57153600).

Almost surely, 2^6826182363 is an apocalyptic number.

6826182363 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

6826182363 is an abundant number, since it is smaller than the sum of its proper divisors (7805139237).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6826182363 is a wasteful number, since it uses less digits than its factorization.

6826182363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 313 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 6826182363 is about 82620.7138858047. The cubic root of 6826182363 is about 1896.9649015299.

The spelling of 6826182363 in words is "six billion, eight hundred twenty-six million, one hundred eighty-two thousand, three hundred sixty-three".