6824215008 has 480 divisors, whose sum is σ = 22949498880. Its totient is φ = 1974481920.

The previous prime is 6824214989. The next prime is 6824215037. The reversal of 6824215008 is 8005124286.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49095003 + ... + 49095141.

It is an arithmetic number, because the mean of its divisors is an integer number (47811456).

Almost surely, 2^6824215008 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 6824215008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11474749440).

6824215008 is an abundant number, since it is smaller than the sum of its proper divisors (16125283872).

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

6824215008 is a wasteful number, since it uses less digits than its factorization.

6824215008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 6824215008 is about 82608.8070849592. The cubic root of 6824215008 is about 1896.7826443632.

The spelling of 6824215008 in words is "six billion, eight hundred twenty-four million, two hundred fifteen thousand, eight".