6820790328 has 288 divisors, whose sum is σ = 21332263680. Its totient is φ = 2040033600.

The previous prime is 6820790281. The next prime is 6820790329. The reversal of 6820790328 is 8230970286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6820790329) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25168833 + ... + 25169103.

It is an arithmetic number, because the mean of its divisors is an integer number (74070360).

Almost surely, 2^6820790328 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 6820790328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666131840).

6820790328 is an abundant number, since it is smaller than the sum of its proper divisors (14511473352).

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

6820790328 is a wasteful number, since it uses less digits than its factorization.

6820790328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6820790328 is about 82588.0761853671. The cubic root of 6820790328 is about 1896.4652959934.

The spelling of 6820790328 in words is "six billion, eight hundred twenty million, seven hundred ninety thousand, three hundred twenty-eight".