6666559200 has 1008 divisors, whose sum is σ = 29509111296. Its totient is φ = 1437004800.

The previous prime is 6666559199. The next prime is 6666559219. The reversal of 6666559200 is 29556666.

It is a Cunningham number, because it is equal to 81649²-1.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 93895165 + ... + 93895235.

It is an arithmetic number, because the mean of its divisors is an integer number (29274912).

Almost surely, 2^6666559200 is an apocalyptic number.

6666559200 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 6666559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14754555648).

6666559200 is an abundant number, since it is smaller than the sum of its proper divisors (22842552096).

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

6666559200 is a wasteful number, since it uses less digits than its factorization.

6666559200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 6666559200 is about 81648.9999938762. Note that the first 5 decimals coincide. The cubic root of 6666559200 is about 1882.0619447072.

The spelling of 6666559200 in words is "six billion, six hundred sixty-six million, five hundred fifty-nine thousand, two hundred".