667455360 has 576 divisors, whose sum is σ = 2681184240. Its totient is φ = 140574720.

The previous prime is 667455337. The next prime is 667455367. The reversal of 667455360 is 63554766.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667455367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39262072 + ... + 39262088.

Almost surely, 2^667455360 is an apocalyptic number.

667455360 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 667455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340592120).

667455360 is an abundant number, since it is smaller than the sum of its proper divisors (2013728880).

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

667455360 is a wasteful number, since it uses less digits than its factorization.

667455360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The square root of 667455360 is about 25835.1574409757. The cubic root of 667455360 is about 873.9248225200.

The spelling of 667455360 in words is "six hundred sixty-seven million, four hundred fifty-five thousand, three hundred sixty".