6824284992 has 280 divisors, whose sum is σ = 23269326080. Its totient is φ = 1937157120.

The previous prime is 6824284981. The next prime is 6824285011. The reversal of 6824284992 is 2994824286.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 39 ways as a sum of consecutive naturals, for example, 6567609 + ... + 6568647.

It is an arithmetic number, because the mean of its divisors is an integer number (83104736).

Almost surely, 2^6824284992 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 6824284992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11634663040).

6824284992 is an abundant number, since it is smaller than the sum of its proper divisors (16445041088).

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

6824284992 is a wasteful number, since it uses less digits than its factorization.

6824284992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1232 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 6824284992 is about 82609.2306706702. The cubic root of 6824284992 is about 1896.7891283316.

The spelling of 6824284992 in words is "six billion, eight hundred twenty-four million, two hundred eighty-four thousand, nine hundred ninety-two".