6665011200 has 342 divisors, whose sum is σ = 24086793354. Its totient is φ = 1761607680.

The previous prime is 6665011163. The next prime is 6665011271. The reversal of 6665011200 is 21105666.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 37748736 + 6627262464 = 6144^2 + 81408^2 .

It is a super-2 number, since 2×6665011200² = 88844748592250880000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 58982344 + ... + 58982456.

Almost surely, 2^6665011200 is an apocalyptic number.

6665011200 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 6665011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12043396677).

6665011200 is an abundant number, since it is smaller than the sum of its proper divisors (17421782154).

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

6665011200 is an equidigital number, since it uses as much as digits as its factorization.

6665011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6665011200 is about 81639.5198418021. The cubic root of 6665011200 is about 1881.9162594876.

Adding to 6665011200 its reverse (21105666), we get a palindrome (6686116866).

The spelling of 6665011200 in words is "six billion, six hundred sixty-five million, eleven thousand, two hundred".