667664800 has 144 divisors (see below), whose sum is σ = 1883129472. Its totient is φ = 228454400.

The previous prime is 667664791. The next prime is 667664801. The reversal of 667664800 is 8466766.

It is not an unprimeable number, because it can be changed into a prime (667664801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147369 + ... + 151831.

It is an arithmetic number, because the mean of its divisors is an integer number (13077288).

Almost surely, 2^667664800 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 667664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941564736).

667664800 is an abundant number, since it is smaller than the sum of its proper divisors (1215464672).

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

667664800 is a wasteful number, since it uses less digits than its factorization.

667664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4511 (or 4498 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 667664800 is about 25839.2105142553. The cubic root of 667664800 is about 874.0162222272.

The spelling of 667664800 in words is "six hundred sixty-seven million, six hundred sixty-four thousand, eight hundred".