6328416006 has 64 divisors (see below), whose sum is σ = 16008675840. Its totient is φ = 1834319520.

The previous prime is 6328415987. The next prime is 6328416011. The reversal of 6328416006 is 6006148236.

6328416006 is a `hidden beast` number, since 6 + 3 + 2 + 8 + 41 + 600 + 6 = 666.

It is a super-3 number, since 3×6328416006³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217945 + ... + 245268.

It is an arithmetic number, because the mean of its divisors is an integer number (250135560).

Almost surely, 2^6328416006 is an apocalyptic number.

6328416006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6328416006 is an abundant number, since it is smaller than the sum of its proper divisors (9680259834).

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

6328416006 is a wasteful number, since it uses less digits than its factorization.

6328416006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463258 (or 463252 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6328416006 is about 79551.3419497119. The cubic root of 6328416006 is about 1849.6874082026.

The spelling of 6328416006 in words is "six billion, three hundred twenty-eight million, four hundred sixteen thousand, six".