666465600 has 168 divisors, whose sum is σ = 2238105760. Its totient is φ = 173537280.

The previous prime is 666465599. The next prime is 666465607. The reversal of 666465600 is 6564666.

666465600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666465607) 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, 204786 + ... + 208014.

Almost surely, 2^666465600 is an apocalyptic number.

666465600 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 666465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119052880).

666465600 is an abundant number, since it is smaller than the sum of its proper divisors (1571640160).

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

666465600 is a wasteful number, since it uses less digits than its factorization.

666465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3297 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 666465600 is about 25815.9950418340. The cubic root of 666465600 is about 873.4926319495.

The spelling of 666465600 in words is "six hundred sixty-six million, four hundred sixty-five thousand, six hundred".