667630080 has 320 divisors, whose sum is σ = 2557336320. Its totient is φ = 164118528.

The previous prime is 667630079. The next prime is 667630081. The reversal of 667630080 is 80036766.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (667630079) and next prime (667630081).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (667630081) 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 31 ways as a sum of consecutive naturals, for example, 898189 + ... + 898931.

It is an arithmetic number, because the mean of its divisors is an integer number (7991676).

Almost surely, 2^667630080 is an apocalyptic number.

667630080 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 667630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278668160).

667630080 is an abundant number, since it is smaller than the sum of its proper divisors (1889706240).

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

667630080 is a wasteful number, since it uses less digits than its factorization.

667630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 667630080 is about 25838.5386583684. The cubic root of 667630080 is about 874.0010717259.

The spelling of 667630080 in words is "six hundred sixty-seven million, six hundred thirty thousand, eighty".