667521816192 has 1536 divisors, whose sum is σ = 2635027200000. Its totient is φ = 160294256640.

The previous prime is 667521816163. The next prime is 667521816223. The reversal of 667521816192 is 291618125766.

It is a happy number.

667521816192 is a `hidden beast` number, since 6 + 6 + 7 + 5 + 2 + 18 + 1 + 619 + 2 = 666.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 4872421948 + ... + 4872422084.

It is an arithmetic number, because the mean of its divisors is an integer number (1715512500).

Almost surely, 2^667521816192 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 667521816192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317513600000).

667521816192 is an abundant number, since it is smaller than the sum of its proper divisors (1967505383808).

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

667521816192 is a wasteful number, since it uses less digits than its factorization.

667521816192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 238 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 667521816192 in words is "six hundred sixty-seven billion, five hundred twenty-one million, eight hundred sixteen thousand, one hundred ninety-two".