666005760 has 288 divisors, whose sum is σ = 2702004480. Its totient is φ = 152174592.

The previous prime is 666005729. The next prime is 666005761. The reversal of 666005760 is 67500666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (666005761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240544 + ... + 243296.

It is an arithmetic number, because the mean of its divisors is an integer number (9381960).

Almost surely, 2^666005760 is an apocalyptic number.

666005760 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 666005760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1351002240).

666005760 is an abundant number, since it is smaller than the sum of its proper divisors (2035998720).

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

666005760 is a wasteful number, since it uses less digits than its factorization.

666005760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 666005760 is about 25807.0873986198. The cubic root of 666005760 is about 873.2916917128.

The spelling of 666005760 in words is "six hundred sixty-six million, five thousand, seven hundred sixty".