6667468800 has 192 divisors, whose sum is σ = 22054886760. Its totient is φ = 1777336320.

The previous prime is 6667468763. The next prime is 6667468817. The reversal of 6667468800 is 88647666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2456244 + ... + 2458956.

Almost surely, 2^6667468800 is an apocalyptic number.

6667468800 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 6667468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11027443380).

6667468800 is an abundant number, since it is smaller than the sum of its proper divisors (15387417960).

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

6667468800 is an equidigital number, since it uses as much as digits as its factorization.

6667468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2723 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 6667468800 is about 81654.5699884581. The cubic root of 6667468800 is about 1882.1475383715.

The spelling of 6667468800 in words is "six billion, six hundred sixty-seven million, four hundred sixty-eight thousand, eight hundred".