6802882086 has 320 divisors, whose sum is σ = 19740349440. Its totient is φ = 1517978880.

The previous prime is 6802882081. The next prime is 6802882117.

6802882086 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6802882086² = 92558409352039422792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6802882081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 183861660 + ... + 183861696.

It is an arithmetic number, because the mean of its divisors is an integer number (61688592).

Almost surely, 2^6802882086 is an apocalyptic number.

6802882086 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6802882086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870174720).

6802882086 is an abundant number, since it is smaller than the sum of its proper divisors (12937467354).

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

6802882086 is a wasteful number, since it uses less digits than its factorization.

6802882086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 48.

The square root of 6802882086 is about 82479.5858743241. The cubic root of 6802882086 is about 1894.8040942649.

It can be divided in two parts, 6802 and 882086, that added together give a palindrome (888888).

The spelling of 6802882086 in words is "six billion, eight hundred two million, eight hundred eighty-two thousand, eighty-six".