667726472844288 has 2816 divisors, whose sum is σ = 2544192129024000. Its totient is φ = 169928766259200.

The previous prime is 667726472844161. The next prime is 667726472844329. The reversal of 667726472844288 is 882448274627766.

667726472844288 is a `hidden beast` number, since 6 + 6 + 7 + 7 + 26 + 4 + 72 + 8 + 442 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 219574636048 + ... + 219574639088.

Almost surely, 2^{667726472844288} 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 667726472844288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272096064512000).

667726472844288 is an abundant number, since it is smaller than the sum of its proper divisors (1876465656179712).

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

667726472844288 is a wasteful number, since it uses less digits than its factorization.

667726472844288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3229 (or 3205 counting only the distinct ones).

The product of its digits is 19421724672, while the sum is 81.

The spelling of 667726472844288 in words is "six hundred sixty-seven trillion, seven hundred twenty-six billion, four hundred seventy-two million, eight hundred forty-four thousand, two hundred eighty-eight".