8478412800 has 624 divisors, whose sum is σ = 33103172928. Its totient is φ = 1887436800.

The previous prime is 8478412783. The next prime is 8478412847. The reversal of 8478412800 is 82148748.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43929504 + ... + 43929696.

Almost surely, 2^8478412800 is an apocalyptic number.

8478412800 is a gapful number since it is divisible by the number (80) 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 8478412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16551586464).

8478412800 is an abundant number, since it is smaller than the sum of its proper divisors (24624760128).

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

8478412800 is a wasteful number, since it uses less digits than its factorization.

8478412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 8478412800 is about 92078.2971171817. The cubic root of 8478412800 is about 2039.0984097462.

The spelling of 8478412800 in words is "eight billion, four hundred seventy-eight million, four hundred twelve thousand, eight hundred".