6828410664 has 96 divisors (see below), whose sum is σ = 19152413280. Its totient is φ = 2196335232.

The previous prime is 6828410657. The next prime is 6828410681. The reversal of 6828410664 is 4660148286.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243682 + ... + 270254.

It is an arithmetic number, because the mean of its divisors is an integer number (199504305).

Almost surely, 2^6828410664 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 6828410664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9576206640).

6828410664 is an abundant number, since it is smaller than the sum of its proper divisors (12324002616).

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

6828410664 is a wasteful number, since it uses less digits than its factorization.

6828410664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26711 (or 26704 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6828410664 is about 82634.1979086141. The cubic root of 6828410664 is about 1897.1712906309.

The spelling of 6828410664 in words is "six billion, eight hundred twenty-eight million, four hundred ten thousand, six hundred sixty-four".