6820304400 has 720 divisors, whose sum is σ = 29551441920. Its totient is φ = 1418342400.

The previous prime is 6820304399. The next prime is 6820304431. The reversal of 6820304400 is 44030286.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×6820304400³ (a number of 30 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 35708305 + ... + 35708495.

Almost surely, 2^6820304400 is an apocalyptic number.

6820304400 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 6820304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14775720960).

6820304400 is an abundant number, since it is smaller than the sum of its proper divisors (22731137520).

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

6820304400 is a wasteful number, since it uses less digits than its factorization.

6820304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6820304400 is about 82585.1342555063. The cubic root of 6820304400 is about 1896.4202588140.

Adding to 6820304400 its reverse (44030286), we get a palindrome (6864334686).

The spelling of 6820304400 in words is "six billion, eight hundred twenty million, three hundred four thousand, four hundred".