6800358400 has 528 divisors, whose sum is σ = 20468689920. Its totient is φ = 2211840000.

The previous prime is 6800358379. The next prime is 6800358401. The reversal of 6800358400 is 48530086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6800358401) 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, 165862380 + ... + 165862420.

Almost surely, 2^6800358400 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 6800358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10234344960).

6800358400 is an abundant number, since it is smaller than the sum of its proper divisors (13668331520).

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

6800358400 is a wasteful number, since it uses less digits than its factorization.

6800358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 6800358400 is about 82464.2856029202. The cubic root of 6800358400 is about 1894.5697581926.

Adding to 6800358400 its reverse (48530086), we get a palindrome (6848888486).

The spelling of 6800358400 in words is "six billion, eight hundred million, three hundred fifty-eight thousand, four hundred".