6006107712 has 224 divisors, whose sum is σ = 17922240000. Its totient is φ = 1759334400.

The previous prime is 6006107683. The next prime is 6006107717. The reversal of 6006107712 is 2177016006.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 6006107712.

It is not an unprimeable number, because it can be changed into a prime (6006107717) by changing a digit.

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, 12036039 + ... + 12036537.

It is an arithmetic number, because the mean of its divisors is an integer number (80010000).

Almost surely, 2^6006107712 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 6006107712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8961120000).

6006107712 is an abundant number, since it is smaller than the sum of its proper divisors (11916132288).

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

6006107712 is a wasteful number, since it uses less digits than its factorization.

6006107712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 6006107712 is about 77499.0820074664. The cubic root of 6006107712 is about 1817.7369642478.

The spelling of 6006107712 in words is "six billion, six million, one hundred seven thousand, seven hundred twelve".