667481050006176 has 288 divisors, whose sum is σ = 2062573548719040. Its totient is φ = 188434821464064.

The previous prime is 667481050006171. The next prime is 667481050006201. The reversal of 667481050006176 is 671600050184766.

It is not an unprimeable number, because it can be changed into a prime (667481050006171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278511355 + ... + 280897733.

It is an arithmetic number, because the mean of its divisors is an integer number (7161713710830).

Almost surely, 2^{667481050006176} 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 667481050006176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031286774359520).

667481050006176 is an abundant number, since it is smaller than the sum of its proper divisors (1395092498712864).

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

667481050006176 is a wasteful number, since it uses less digits than its factorization.

667481050006176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387116 (or 2387101 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 667481050006176 in words is "six hundred sixty-seven trillion, four hundred eighty-one billion, fifty million, six thousand, one hundred seventy-six".