6823008240 has 160 divisors (see below), whose sum is σ = 21893836800. Its totient is φ = 1755924480.

The previous prime is 6823008229. The next prime is 6823008251. The reversal of 6823008240 is 428003286.

It is an interprime number because it is at equal distance from previous prime (6823008229) and next prime (6823008251).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3265116 + ... + 3267204.

It is an arithmetic number, because the mean of its divisors is an integer number (136836480).

Almost surely, 2^6823008240 is an apocalyptic number.

6823008240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6823008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10946918400).

6823008240 is an abundant number, since it is smaller than the sum of its proper divisors (15070828560).

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

6823008240 is a wasteful number, since it uses less digits than its factorization.

6823008240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2569 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 6823008240 is about 82601.5026497702. The cubic root of 6823008240 is about 1896.6708311835.

The spelling of 6823008240 in words is "six billion, eight hundred twenty-three million, eight thousand, two hundred forty".