6827832468 has 72 divisors (see below), whose sum is σ = 18951371712. Its totient is φ = 2142059904.

The previous prime is 6827832437. The next prime is 6827832493. The reversal of 6827832468 is 8642387286.

6827832468 is a `hidden beast` number, since 6 + 82 + 78 + 32 + 468 = 666.

It is a super-2 number, since 2×6827832468² = 93238592422149942048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190080 + ... + 223127.

It is an arithmetic number, because the mean of its divisors is an integer number (263213496).

Almost surely, 2^6827832468 is an apocalyptic number.

6827832468 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

6827832468 is an abundant number, since it is smaller than the sum of its proper divisors (12123539244).

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

6827832468 is a wasteful number, since it uses less digits than its factorization.

6827832468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413243 (or 413229 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 6827832468 is about 82630.6993072187. The cubic root of 6827832468 is about 1897.1177414295.

The spelling of 6827832468 in words is "six billion, eight hundred twenty-seven million, eight hundred thirty-two thousand, four hundred sixty-eight".