6821828442 has 384 divisors, whose sum is σ = 19564167168. Its totient is φ = 1685145600.

The previous prime is 6821828423. The next prime is 6821828443. The reversal of 6821828442 is 2448281286.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6821828443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63755353 + ... + 63755459.

It is an arithmetic number, because the mean of its divisors is an integer number (50948352).

Almost surely, 2^6821828442 is an apocalyptic number.

6821828442 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6821828442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9782083584).

6821828442 is an abundant number, since it is smaller than the sum of its proper divisors (12742338726).

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

6821828442 is a wasteful number, since it uses less digits than its factorization.

6821828442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 231 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The square root of 6821828442 is about 82594.3608365607. The cubic root of 6821828442 is about 1896.5615041652.

The spelling of 6821828442 in words is "six billion, eight hundred twenty-one million, eight hundred twenty-eight thousand, four hundred forty-two".