6824797056 has 384 divisors, whose sum is σ = 25021301760. Its totient is φ = 1733898240.

The previous prime is 6824797051. The next prime is 6824797079. The reversal of 6824797056 is 6507974286.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 6824796993 and 6824797011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6824797051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4168270 + ... + 4169906.

It is an arithmetic number, because the mean of its divisors is an integer number (65159640).

Almost surely, 2^6824797056 is an apocalyptic number.

6824797056 is a gapful number since it is divisible by the number (66) 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 6824797056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12510650880).

6824797056 is an abundant number, since it is smaller than the sum of its proper divisors (18196504704).

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

6824797056 is a wasteful number, since it uses less digits than its factorization.

6824797056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 6824797056 is about 82612.3299271967. The cubic root of 6824797056 is about 1896.8365693522.

The spelling of 6824797056 in words is "six billion, eight hundred twenty-four million, seven hundred ninety-seven thousand, fifty-six".