6473828800 has 84 divisors (see below), whose sum is σ = 16131621280. Its totient is φ = 2556702720.

The previous prime is 6473828773. The next prime is 6473828819. The reversal of 6473828800 is 88283746.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100792 + ... + 152008.

Almost surely, 2^6473828800 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 6473828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8065810640).

6473828800 is an abundant number, since it is smaller than the sum of its proper divisors (9657792480).

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

6473828800 is a wasteful number, since it uses less digits than its factorization.

6473828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51318 (or 51303 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 6473828800 is about 80460.1068853379. The cubic root of 6473828800 is about 1863.7474837065.

The spelling of 6473828800 in words is "six billion, four hundred seventy-three million, eight hundred twenty-eight thousand, eight hundred".