6438130800 has 60 divisors (see below), whose sum is σ = 20623482840. Its totient is φ = 1716834560.

The previous prime is 6438130793. The next prime is 6438130801. The reversal of 6438130800 is 80318346.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6438130801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2681355 + ... + 2683754.

It is an arithmetic number, because the mean of its divisors is an integer number (343724714).

Almost surely, 2^6438130800 is an apocalyptic number.

6438130800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6438130800 is an abundant number, since it is smaller than the sum of its proper divisors (14185352040).

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

6438130800 is a wasteful number, since it uses less digits than its factorization.

6438130800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365130 (or 5365119 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6438130800 is about 80237.9635833313. The cubic root of 6438130800 is about 1860.3154742961.

The spelling of 6438130800 in words is "six billion, four hundred thirty-eight million, one hundred thirty thousand, eight hundred".