6006216768 has 224 divisors, whose sum is σ = 17423831040. Its totient is φ = 1818961920.

The previous prime is 6006216719. The next prime is 6006216791. The reversal of 6006216768 is 8676126006.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 19564071 + ... + 19564377.

It is an arithmetic number, because the mean of its divisors is an integer number (77784960).

Almost surely, 2^6006216768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6006216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8711915520).

6006216768 is an abundant number, since it is smaller than the sum of its proper divisors (11417614272).

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

6006216768 is a wasteful number, since it uses less digits than its factorization.

6006216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 6006216768 is about 77499.7855997034. The cubic root of 6006216768 is about 1817.7479660442.

The spelling of 6006216768 in words is "six billion, six million, two hundred sixteen thousand, seven hundred sixty-eight".