6430806800 has 120 divisors (see below), whose sum is σ = 17058595680. Its totient is φ = 2310169600.

The previous prime is 6430806787. The next prime is 6430806803. The reversal of 6430806800 is 86080346.

It is not an unprimeable number, because it can be changed into a prime (6430806803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356396 + ... + 374004.

It is an arithmetic number, because the mean of its divisors is an integer number (142154964).

Almost surely, 2^6430806800 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 6430806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8529297840).

6430806800 is an abundant number, since it is smaller than the sum of its proper divisors (10627788880).

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

6430806800 is a wasteful number, since it uses less digits than its factorization.

6430806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17721 (or 17710 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 6430806800 is about 80192.3113521490. The cubic root of 6430806800 is about 1859.6097766957.

The spelling of 6430806800 in words is "six billion, four hundred thirty million, eight hundred six thousand, eight hundred".