6833284416 has 490 divisors, whose sum is σ = 24106195882. Its totient is φ = 1920360960.

The previous prime is 6833284391. The next prime is 6833284417. The reversal of 6833284416 is 6144823386.

It can be written as a sum of positive squares in only one way, i.e., 4032758016 + 2800526400 = 63504^2 + 52920^2 .

It is a super-2 number, since 2×6833284416² = 93387551819896922112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6833284417) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 112021026 + ... + 112021086.

Almost surely, 2^6833284416 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 6833284416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12053097941).

6833284416 is an abundant number, since it is smaller than the sum of its proper divisors (17272911466).

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

6833284416 is an frugal number, since it uses more digits than its factorization.

6833284416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 73 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 6833284416 is about 82663.6825697960. The cubic root of 6833284416 is about 1897.6225495379.

The spelling of 6833284416 in words is "six billion, eight hundred thirty-three million, two hundred eighty-four thousand, four hundred sixteen".