6826684080 has 160 divisors (see below), whose sum is σ = 21868600320. Its totient is φ = 1760711680.

The previous prime is 6826684079. The next prime is 6826684091. The reversal of 6826684080 is 804866286.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 899341 + ... + 906899.

It is an arithmetic number, because the mean of its divisors is an integer number (136678752).

Almost surely, 2^6826684080 is an apocalyptic number.

6826684080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6826684080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10934300160).

6826684080 is an abundant number, since it is smaller than the sum of its proper divisors (15041916240).

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

6826684080 is a wasteful number, since it uses less digits than its factorization.

6826684080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7699 (or 7693 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 6826684080 is about 82623.7500964462. The cubic root of 6826684080 is about 1897.0113753456.

The spelling of 6826684080 in words is "six billion, eight hundred twenty-six million, six hundred eighty-four thousand, eighty".