6666446600 has 192 divisors, whose sum is σ = 17318534400. Its totient is φ = 2385926400.

The previous prime is 6666446587. The next prime is 6666446627. The reversal of 6666446600 is 66446666.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21029642 + ... + 21029958.

It is an arithmetic number, because the mean of its divisors is an integer number (90200700).

Almost surely, 2^6666446600 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 6666446600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8659267200).

6666446600 is an abundant number, since it is smaller than the sum of its proper divisors (10652087800).

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

6666446600 is a wasteful number, since it uses less digits than its factorization.

6666446600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 44.

The square root of 6666446600 is about 81648.3104540443. The cubic root of 6666446600 is about 1882.0513484680.

The spelling of 6666446600 in words is "six billion, six hundred sixty-six million, four hundred forty-six thousand, six hundred".