6830313600 has 384 divisors, whose sum is σ = 24915548160. Its totient is φ = 1630720000.

The previous prime is 6830313599. The next prime is 6830313617. The reversal of 6830313600 is 63130386.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 7497145 + ... + 7498055.

It is an arithmetic number, because the mean of its divisors is an integer number (64884240).

Almost surely, 2^6830313600 is an apocalyptic number.

6830313600 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 6830313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12457774080).

6830313600 is an abundant number, since it is smaller than the sum of its proper divisors (18085234560).

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

6830313600 is a wasteful number, since it uses less digits than its factorization.

6830313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 6830313600 is about 82645.7113224879. The cubic root of 6830313600 is about 1897.3475083198.

Adding to 6830313600 its reverse (63130386), we get a palindrome (6893443986).

The spelling of 6830313600 in words is "six billion, eight hundred thirty million, three hundred thirteen thousand, six hundred".