6225306066 has 96 divisors (see below), whose sum is σ = 15586541568. Its totient is φ = 1758970080.

The previous prime is 6225306049. The next prime is 6225306071. The reversal of 6225306066 is 6606035226.

6225306066 is a `hidden beast` number, since 6 + 2 + 2 + 530 + 60 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6225306066.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9008781 + ... + 9009471.

It is an arithmetic number, because the mean of its divisors is an integer number (162359808).

Almost surely, 2^6225306066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6225306066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7793270784).

6225306066 is an abundant number, since it is smaller than the sum of its proper divisors (9361235502).

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

6225306066 is a wasteful number, since it uses less digits than its factorization.

6225306066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 6225306066 is about 78900.6087809213. The cubic root of 6225306066 is about 1839.5865944667.

The spelling of 6225306066 in words is "six billion, two hundred twenty-five million, three hundred six thousand, sixty-six".