667725760 has 84 divisors (see below), whose sum is σ = 1721879208. Its totient is φ = 246524928.

The previous prime is 667725743. The next prime is 667725761. The reversal of 667725760 is 67527766.

It is a self number, because there is not a number n which added to its sum of digits gives 667725760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667725761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47907 + ... + 60253.

It is an arithmetic number, because the mean of its divisors is an integer number (20498562).

Almost surely, 2^667725760 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 667725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860939604).

667725760 is an abundant number, since it is smaller than the sum of its proper divisors (1054153448).

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

667725760 is a wasteful number, since it uses less digits than its factorization.

667725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12390 (or 12367 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 46.

The square root of 667725760 is about 25840.3900899348. The cubic root of 667725760 is about 874.0428216063.

The spelling of 667725760 in words is "six hundred sixty-seven million, seven hundred twenty-five thousand, seven hundred sixty".