6482416200 has 768 divisors, whose sum is σ = 25198387200. Its totient is φ = 1360281600.

The previous prime is 6482416189. The next prime is 6482416229. The reversal of 6482416200 is 26142846.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78101359 + ... + 78101441.

It is an arithmetic number, because the mean of its divisors is an integer number (32810400).

Almost surely, 2^6482416200 is an apocalyptic number.

6482416200 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 6482416200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12599193600).

6482416200 is an abundant number, since it is smaller than the sum of its proper divisors (18715971000).

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

6482416200 is a wasteful number, since it uses less digits than its factorization.

6482416200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 6482416200 is about 80513.4535341765. The cubic root of 6482416200 is about 1864.5711937650.

The spelling of 6482416200 in words is "six billion, four hundred eighty-two million, four hundred sixteen thousand, two hundred".