6834382016 has 336 divisors, whose sum is σ = 18161203200. Its totient is φ = 2545804800.

The previous prime is 6834382013. The next prime is 6834382021. The reversal of 6834382016 is 6102834386.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6834382013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82341911 + ... + 82341993.

It is an arithmetic number, because the mean of its divisors is an integer number (54051200).

Almost surely, 2^6834382016 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 6834382016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080601600).

6834382016 is an abundant number, since it is smaller than the sum of its proper divisors (11326821184).

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

6834382016 is a wasteful number, since it uses less digits than its factorization.

6834382016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 6834382016 is about 82670.3212525511. The cubic root of 6834382016 is about 1897.7241463140.

The spelling of 6834382016 in words is "six billion, eight hundred thirty-four million, three hundred eighty-two thousand, sixteen".