666816000 has 320 divisors, whose sum is σ = 2328708096. Its totient is φ = 168960000.

The previous prime is 666815999. The next prime is 666816019. The reversal of 666816000 is 618666.

666816000 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 (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4415925 + ... + 4416075.

Almost surely, 2^666816000 is an apocalyptic number.

666816000 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 666816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164354048).

666816000 is an abundant number, since it is smaller than the sum of its proper divisors (1661892096).

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

666816000 is a wasteful number, since it uses less digits than its factorization.

666816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 666816000 is about 25822.7806403571. The cubic root of 666816000 is about 873.6456872080.

The spelling of 666816000 in words is "six hundred sixty-six million, eight hundred sixteen thousand".