6666553600 has 216 divisors, whose sum is σ = 19148093888. Its totient is φ = 2250547200.

The previous prime is 6666553589. The next prime is 6666553601. The reversal of 6666553600 is 63556666.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6666553601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3000490 + ... + 3002710.

Almost surely, 2^6666553600 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 6666553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9574046944).

6666553600 is an abundant number, since it is smaller than the sum of its proper divisors (12481540288).

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

6666553600 is a wasteful number, since it uses less digits than its factorization.

6666553600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 43.

The square root of 6666553600 is about 81648.9657007362. The cubic root of 6666553600 is about 1882.0614177212.

The spelling of 6666553600 in words is "six billion, six hundred sixty-six million, five hundred fifty-three thousand, six hundred".