667662217766712 has 256 divisors, whose sum is σ = 2122146577152000. Its totient is φ = 190528115521536.

The previous prime is 667662217766711. The next prime is 667662217766749. The reversal of 667662217766712 is 217667712266766.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 (667662217766711) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24270669214 + ... + 24270696722.

It is an arithmetic number, because the mean of its divisors is an integer number (8289635067000).

Almost surely, 2^{667662217766712} 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 667662217766712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061073288576000).

667662217766712 is an abundant number, since it is smaller than the sum of its proper divisors (1454484359385288).

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

667662217766712 is a wasteful number, since it uses less digits than its factorization.

667662217766712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46515 (or 46505 counting only the distinct ones).

The product of its digits is 896168448, while the sum is 72.

The spelling of 667662217766712 in words is "six hundred sixty-seven trillion, six hundred sixty-two billion, two hundred seventeen million, seven hundred sixty-six thousand, seven hundred twelve".