6826840956 has 288 divisors, whose sum is σ = 20547072000. Its totient is φ = 1893196800.

The previous prime is 6826840913. The next prime is 6826840973. The reversal of 6826840956 is 6590486286.

It is a happy number.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 13680795 + ... + 13681293.

It is an arithmetic number, because the mean of its divisors is an integer number (71344000).

Almost surely, 2^6826840956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6826840956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10273536000).

6826840956 is an abundant number, since it is smaller than the sum of its proper divisors (13720231044).

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

6826840956 is a wasteful number, since it uses less digits than its factorization.

6826840956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6826840956 is about 82624.6994306182. The cubic root of 6826840956 is about 1897.0259062303.

The spelling of 6826840956 in words is "six billion, eight hundred twenty-six million, eight hundred forty thousand, nine hundred fifty-six".