6006610566 has 96 divisors (see below), whose sum is σ = 14901763968. Its totient is φ = 1798122240.

The previous prime is 6006610513. The next prime is 6006610567. The reversal of 6006610566 is 6650166006.

It is a self number, because there is not a number n which added to its sum of digits gives 6006610566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006610567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436950 + ... + 450486.

It is an arithmetic number, because the mean of its divisors is an integer number (155226708).

Almost surely, 2^6006610566 is an apocalyptic number.

6006610566 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6006610566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7450881984).

6006610566 is an abundant number, since it is smaller than the sum of its proper divisors (8895153402).

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

6006610566 is a wasteful number, since it uses less digits than its factorization.

6006610566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13648 (or 13636 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6006610566 is about 77502.3261973471. The cubic root of 6006610566 is about 1817.7876920979.

It can be divided in two parts, 600 and 6610566, that added together give a palindrome (6611166).

The spelling of 6006610566 in words is "six billion, six million, six hundred ten thousand, five hundred sixty-six".