6820200582 has 64 divisors (see below), whose sum is σ = 14834050560. Its totient is φ = 2077979904.

The previous prime is 6820200581. The next prime is 6820200617. The reversal of 6820200582 is 2850020286.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6820200581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7939269 + ... + 7940127.

It is an arithmetic number, because the mean of its divisors is an integer number (231782040).

Almost surely, 2^6820200582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6820200582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7417025280).

6820200582 is an abundant number, since it is smaller than the sum of its proper divisors (8013849978).

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

6820200582 is a wasteful number, since it uses less digits than its factorization.

6820200582 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 6820200582 is about 82584.5057017356. The cubic root of 6820200582 is about 1896.4106363912.

The spelling of 6820200582 in words is "six billion, eight hundred twenty million, two hundred thousand, five hundred eighty-two".