667726416 has 200 divisors, whose sum is σ = 2236196160. Its totient is φ = 188407296.

The previous prime is 667726399. The next prime is 667726417. The reversal of 667726416 is 614627766.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667726417) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 806995 + ... + 807821.

Almost surely, 2^667726416 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 667726416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118098080).

667726416 is an abundant number, since it is smaller than the sum of its proper divisors (1568469744).

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

667726416 is a wasteful number, since it uses less digits than its factorization.

667726416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 928 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 667726416 is about 25840.4027832385. The cubic root of 667726416 is about 874.0431078375.

The spelling of 667726416 in words is "six hundred sixty-seven million, seven hundred twenty-six thousand, four hundred sixteen".