667336320 has 384 divisors, whose sum is σ = 2735591040. Its totient is φ = 152285184.

The previous prime is 667336301. The next prime is 667336333. The reversal of 667336320 is 23633766.

It is a happy number.

667336320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×667336320² = 890675527982284800, which contains 22 as substring.

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

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, 1088334 + ... + 1088946.

It is an arithmetic number, because the mean of its divisors is an integer number (7123935).

Almost surely, 2^667336320 is an apocalyptic number.

667336320 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 667336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367795520).

667336320 is an abundant number, since it is smaller than the sum of its proper divisors (2068254720).

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

667336320 is an equidigital number, since it uses as much as digits as its factorization.

667336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

The square root of 667336320 is about 25832.8535009201. The cubic root of 667336320 is about 873.8728648898.

The spelling of 667336320 in words is "six hundred sixty-seven million, three hundred thirty-six thousand, three hundred twenty".