6824450400 has 288 divisors, whose sum is σ = 23625987840. Its totient is φ = 1706158080.

The previous prime is 6824450387. The next prime is 6824450411. The reversal of 6824450400 is 40544286.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4696074 + ... + 4697526.

It is an arithmetic number, because the mean of its divisors is an integer number (82034680).

Almost surely, 2^6824450400 is an apocalyptic number.

6824450400 is a gapful number since it is divisible by the number (60) 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 6824450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11812993920).

6824450400 is an abundant number, since it is smaller than the sum of its proper divisors (16801537440).

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

6824450400 is a wasteful number, since it uses less digits than its factorization.

6824450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 6824450400 is about 82610.2318118040. The cubic root of 6824450400 is about 1896.8044530902.

Adding to 6824450400 its reverse (40544286), we get a palindrome (6864994686).

The spelling of 6824450400 in words is "six billion, eight hundred twenty-four million, four hundred fifty thousand, four hundred".