6666948288 has 672 divisors, whose sum is σ = 26556321792. Its totient is φ = 1542758400.

The previous prime is 6666948283. The next prime is 6666948311. The reversal of 6666948288 is 8828496666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6666948288² = 88896398949732261888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6666948283) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17873670 + ... + 17874042.

It is an arithmetic number, because the mean of its divisors is an integer number (39518336).

Almost surely, 2^6666948288 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 6666948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278160896).

6666948288 is an abundant number, since it is smaller than the sum of its proper divisors (19889373504).

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

6666948288 is a wasteful number, since it uses less digits than its factorization.

6666948288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 63.

The square root of 6666948288 is about 81651.3826459785. The cubic root of 6666948288 is about 1882.0985589710.

The spelling of 6666948288 in words is "six billion, six hundred sixty-six million, nine hundred forty-eight thousand, two hundred eighty-eight".