6829889286 has 48 divisors (see below), whose sum is σ = 15080974272. Its totient is φ = 2060496240.

The previous prime is 6829889273. The next prime is 6829889293.

6829889286 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144081 + ... + 185523.

It is an arithmetic number, because the mean of its divisors is an integer number (314186964).

Almost surely, 2^6829889286 is an apocalyptic number.

6829889286 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 6829889286, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540487136).

6829889286 is an abundant number, since it is smaller than the sum of its proper divisors (8251084986).

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

6829889286 is a wasteful number, since it uses less digits than its factorization.

6829889286 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41697 (or 41686 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 66.

The square root of 6829889286 is about 82643.1442165652. The cubic root of 6829889286 is about 1897.3082183823.

The spelling of 6829889286 in words is "six billion, eight hundred twenty-nine million, eight hundred eighty-nine thousand, two hundred eighty-six".