6834816828 has 96 divisors (see below), whose sum is σ = 20300582400. Its totient is φ = 1948053888.

The previous prime is 6834816817. The next prime is 6834816881. The reversal of 6834816828 is 8286184386.

6834816828 is a `hidden beast` number, since 6 + 83 + 481 + 6 + 82 + 8 = 666.

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 31 ways as a sum of consecutive naturals, for example, 305976 + ... + 327552.

It is an arithmetic number, because the mean of its divisors is an integer number (211464400).

Almost surely, 2^6834816828 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 6834816828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150291200).

6834816828 is an abundant number, since it is smaller than the sum of its proper divisors (13465765572).

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

6834816828 is a wasteful number, since it uses less digits than its factorization.

6834816828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22016 (or 22008 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 54.

The square root of 6834816828 is about 82672.9510057552. The cubic root of 6834816828 is about 1897.7643906615.

The spelling of 6834816828 in words is "six billion, eight hundred thirty-four million, eight hundred sixteen thousand, eight hundred twenty-eight".