6400810800 has 90 divisors (see below), whose sum is σ = 22212603972. Its totient is φ = 1706881920.

The previous prime is 6400810789. The next prime is 6400810841. The reversal of 6400810800 is 80180046.

6400810800 is a `hidden beast` number, since 640 + 0 + 8 + 10 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 885402 + ... + 892601.

Almost surely, 2^6400810800 is an apocalyptic number.

6400810800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6400810800 is an abundant number, since it is smaller than the sum of its proper divisors (15811793172).

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

6400810800 is a wasteful number, since it uses less digits than its factorization.

6400810800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778027 (or 1778013 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6400810800 is about 80005.0673395129. The cubic root of 6400810800 is about 1856.7139343058.

Adding to 6400810800 its reverse (80180046), we get a palindrome (6480990846).

The spelling of 6400810800 in words is "six billion, four hundred million, eight hundred ten thousand, eight hundred".