666768960 has 336 divisors, whose sum is σ = 2696016960. Its totient is φ = 149114880.

The previous prime is 666768953. The next prime is 666768983. The reversal of 666768960 is 69867666.

It is a junction number, because it is equal to n+sod(n) for n = 666768897 and 666768906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411031 + ... + 412649.

It is an arithmetic number, because the mean of its divisors is an integer number (8023860).

Almost surely, 2^666768960 is an apocalyptic number.

666768960 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 666768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348008480).

666768960 is an abundant number, since it is smaller than the sum of its proper divisors (2029248000).

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

666768960 is a wasteful number, since it uses less digits than its factorization.

666768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 666768960 is about 25821.8698006167. The cubic root of 666768960 is about 873.6251431801.

The spelling of 666768960 in words is "six hundred sixty-six million, seven hundred sixty-eight thousand, nine hundred sixty".