667608480 has 576 divisors, whose sum is σ = 2958778368. Its totient is φ = 138101760.

The previous prime is 667608463. The next prime is 667608523. The reversal of 667608480 is 84806766.

It is a happy number.

667608480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2993649 + ... + 2993871.

It is an arithmetic number, because the mean of its divisors is an integer number (5136768).

Almost surely, 2^667608480 is an apocalyptic number.

667608480 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 667608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1479389184).

667608480 is an abundant number, since it is smaller than the sum of its proper divisors (2291169888).

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

667608480 is a wasteful number, since it uses less digits than its factorization.

667608480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 667608480 is about 25838.1206746930. The cubic root of 667608480 is about 873.9916460337.

The spelling of 667608480 in words is "six hundred sixty-seven million, six hundred eight thousand, four hundred eighty".