6430471800 has 96 divisors (see below), whose sum is σ = 19997938800. Its totient is φ = 1709332480.

The previous prime is 6430471781. The next prime is 6430471811. The reversal of 6430471800 is 81740346.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 173296 + ... + 207104.

Almost surely, 2^6430471800 is an apocalyptic number.

6430471800 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 6430471800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998969400).

6430471800 is an abundant number, since it is smaller than the sum of its proper divisors (13567467000).

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

6430471800 is a wasteful number, since it uses less digits than its factorization.

6430471800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34145 (or 34136 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 6430471800 is about 80190.2225960248. Note that the first 3 decimals coincide. The cubic root of 6430471800 is about 1859.5774852527.

The spelling of 6430471800 in words is "six billion, four hundred thirty million, four hundred seventy-one thousand, eight hundred".