667800000 has 504 divisors, whose sum is σ = 2785884192. Its totient is φ = 149760000.

The previous prime is 667799999. The next prime is 667800031. The reversal of 667800000 is 8766.

667800000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12599974 + ... + 12600026.

It is an arithmetic number, because the mean of its divisors is an integer number (5527548).

Almost surely, 2^667800000 is an apocalyptic number.

667800000 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 667800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392942096).

667800000 is an abundant number, since it is smaller than the sum of its proper divisors (2118084192).

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

667800000 is an equidigital number, since it uses as much as digits as its factorization.

667800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 667800000 is about 25841.8265608296. The cubic root of 667800000 is about 874.0752134146.

Adding to 667800000 its reverse (8766), we get a palindrome (667808766).

The spelling of 667800000 in words is "six hundred sixty-seven million, eight hundred thousand".