3006660455536 has 80 divisors (see below), whose sum is σ = 6182766777600. Its totient is φ = 1413354438144.

The previous prime is 3006660455507. The next prime is 3006660455537. The reversal of 3006660455536 is 6355540666003.

3006660455536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3006660455536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3006660455537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232941595 + ... + 232954501.

It is an arithmetic number, because the mean of its divisors is an integer number (77284584720).

Almost surely, 2^{3006660455536} 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 3006660455536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091383388800).

3006660455536 is an abundant number, since it is smaller than the sum of its proper divisors (3176106322064).

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

3006660455536 is a wasteful number, since it uses less digits than its factorization.

3006660455536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23726 (or 23720 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 49.

The spelling of 3006660455536 in words is "three trillion, six billion, six hundred sixty million, four hundred fifty-five thousand, five hundred thirty-six".