6066066000 has 320 divisors, whose sum is σ = 20640821760. Its totient is φ = 1529651200.

The previous prime is 6066065963. The next prime is 6066066031. The reversal of 6066066000 is 6606606.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15593806 + ... + 15594194.

It is an arithmetic number, because the mean of its divisors is an integer number (64502568).

Almost surely, 2^6066066000 is an apocalyptic number.

6066066000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6066066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320410880).

6066066000 is an abundant number, since it is smaller than the sum of its proper divisors (14574755760).

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

6066066000 is a wasteful number, since it uses less digits than its factorization.

6066066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 6066066000 is about 77884.9536174992. The cubic root of 6066066000 is about 1823.7657007065.

It can be divided in two parts, 606 and 6066000, that added together give a palindrome (6066606).

The spelling of 6066066000 in words is "six billion, sixty-six million, sixty-six thousand", and thus it is an eban number.