666733760 has 112 divisors (see below), whose sum is σ = 1979493120. Its totient is φ = 207805440.

The previous prime is 666733757. The next prime is 666733763. The reversal of 666733760 is 67337666.

666733760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (666733757) and next prime (666733763).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (666733763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11111 + ... + 38169.

Almost surely, 2^666733760 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 666733760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989746560).

666733760 is an abundant number, since it is smaller than the sum of its proper divisors (1312759360).

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

666733760 is a wasteful number, since it uses less digits than its factorization.

666733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27094 (or 27084 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 44.

The square root of 666733760 is about 25821.1881988417. The cubic root of 666733760 is about 873.6097694659.

It can be divided in two parts, 6 and 66733760, that added together give a palindrome (66733766).

The spelling of 666733760 in words is "six hundred sixty-six million, seven hundred thirty-three thousand, seven hundred sixty".