6799322400 has 288 divisors, whose sum is σ = 23938467840. Its totient is φ = 1666375680.

The previous prime is 6799322381. The next prime is 6799322407. The reversal of 6799322400 is 42239976.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6799322407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11949316 + ... + 11949884.

It is an arithmetic number, because the mean of its divisors is an integer number (83119680).

Almost surely, 2^6799322400 is an apocalyptic number.

6799322400 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 6799322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969233920).

6799322400 is an abundant number, since it is smaller than the sum of its proper divisors (17139145440).

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

6799322400 is a wasteful number, since it uses less digits than its factorization.

6799322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 6799322400 is about 82458.0038565087. The cubic root of 6799322400 is about 1894.4735439523.

The spelling of 6799322400 in words is "six billion, seven hundred ninety-nine million, three hundred twenty-two thousand, four hundred".