667668672 has 168 divisors, whose sum is σ = 2103558912. Its totient is φ = 200793600.

The previous prime is 667668667. The next prime is 667668691. The reversal of 667668672 is 276866766.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1057797 + ... + 1058427.

It is an arithmetic number, because the mean of its divisors is an integer number (12521184).

Almost surely, 2^667668672 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 667668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051779456).

667668672 is an abundant number, since it is smaller than the sum of its proper divisors (1435890240).

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

667668672 is a wasteful number, since it uses less digits than its factorization.

667668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 814 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 667668672 is about 25839.2854390364. The cubic root of 667668672 is about 874.0179117897.

The spelling of 667668672 in words is "six hundred sixty-seven million, six hundred sixty-eight thousand, six hundred seventy-two".