6807442824 has 448 divisors, whose sum is σ = 23973949440. Its totient is φ = 1763596800.

The previous prime is 6807442781. The next prime is 6807442847. The reversal of 6807442824 is 4282447086.

It is a self number, because there is not a number n which added to its sum of digits gives 6807442824.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 53601849 + ... + 53601975.

It is an arithmetic number, because the mean of its divisors is an integer number (53513280).

Almost surely, 2^6807442824 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 6807442824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11986974720).

6807442824 is an abundant number, since it is smaller than the sum of its proper divisors (17166506616).

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

6807442824 is a wasteful number, since it uses less digits than its factorization.

6807442824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 6807442824 is about 82507.2289196529. The cubic root of 6807442824 is about 1895.2274332005.

The spelling of 6807442824 in words is "six billion, eight hundred seven million, four hundred forty-two thousand, eight hundred twenty-four".