667506672 has 120 divisors (see below), whose sum is σ = 2140800480. Its totient is φ = 190195200.

The previous prime is 667506563. The next prime is 667506733. The reversal of 667506672 is 276605766.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 512422 + ... + 513722.

It is an arithmetic number, because the mean of its divisors is an integer number (17840004).

Almost surely, 2^667506672 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 667506672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070400240).

667506672 is an abundant number, since it is smaller than the sum of its proper divisors (1473293808).

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

667506672 is a wasteful number, since it uses less digits than its factorization.

667506672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 667506672 is about 25836.1504872533. The cubic root of 667506672 is about 873.9472168673.

The spelling of 667506672 in words is "six hundred sixty-seven million, five hundred six thousand, six hundred seventy-two".