6328376208 has 960 divisors, whose sum is σ = 26124042240. Its totient is φ = 1418342400.

The previous prime is 6328376207. The next prime is 6328376209. The reversal of 6328376208 is 8026738236.

6328376208 is a `hidden beast` number, since 632 + 8 + 3 + 7 + 6 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6328376207) and next prime (6328376209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6328376207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 204141153 + ... + 204141183.

It is an arithmetic number, because the mean of its divisors is an integer number (27212544).

Almost surely, 2^6328376208 is an apocalyptic number.

6328376208 is a gapful number since it is divisible by the number (68) 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 6328376208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13062021120).

6328376208 is an abundant number, since it is smaller than the sum of its proper divisors (19795666032).

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

6328376208 is a wasteful number, since it uses less digits than its factorization.

6328376208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6328376208 is about 79551.0918089752. The cubic root of 6328376208 is about 1849.6835307703.

The spelling of 6328376208 in words is "six billion, three hundred twenty-eight million, three hundred seventy-six thousand, two hundred eight".