667086181632 has 252 divisors, whose sum is σ = 2150016415764. Its totient is φ = 205256540160.

The previous prime is 667086181577. The next prime is 667086181639. The reversal of 667086181632 is 236181680766.

667086181632 is a `hidden beast` number, since 6 + 6 + 7 + 0 + 8 + 618 + 16 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36624773376 + 630461408256 = 191376^2 + 794016^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667086181639) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2288632 + ... + 2563592.

Almost surely, 2^667086181632 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 667086181632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075008207882).

667086181632 is an abundant number, since it is smaller than the sum of its proper divisors (1482930234132).

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

667086181632 is an equidigital number, since it uses as much as digits as its factorization.

667086181632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275008 (or 274979 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 667086181632 in words is "six hundred sixty-seven billion, eighty-six million, one hundred eighty-one thousand, six hundred thirty-two".