6478315200 has 840 divisors, whose sum is σ = 28094809952. Its totient is φ = 1433272320.

The previous prime is 6478315187. The next prime is 6478315201. The reversal of 6478315200 is 25138746.

6478315200 is a `hidden beast` number, since 64 + 78 + 3 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6478315201) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 33566304 + ... + 33566496.

Almost surely, 2^6478315200 is an apocalyptic number.

6478315200 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 6478315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14047404976).

6478315200 is an abundant number, since it is smaller than the sum of its proper divisors (21616494752).

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

6478315200 is a wasteful number, since it uses less digits than its factorization.

6478315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6478315200 is about 80487.9817115574. The cubic root of 6478315200 is about 1864.1779134767.

The spelling of 6478315200 in words is "six billion, four hundred seventy-eight million, three hundred fifteen thousand, two hundred".