66968148640512 has 288 divisors, whose sum is σ = 212821467328512. Its totient is φ = 18278572511232.

The previous prime is 66968148640511. The next prime is 66968148640513. The reversal of 66968148640512 is 21504684186966.

It is an interprime number because it is at equal distance from previous prime (66968148640511) and next prime (66968148640513).

It is not an unprimeable number, because it can be changed into a prime (66968148640511) 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 31 ways as a sum of consecutive naturals, for example, 96966883 + ... + 97655069.

It is an arithmetic number, because the mean of its divisors is an integer number (738963428224).

Almost surely, 2^{66968148640512} 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 66968148640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106410733664256).

66968148640512 is an abundant number, since it is smaller than the sum of its proper divisors (145853318688000).

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

66968148640512 is a wasteful number, since it uses less digits than its factorization.

66968148640512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689023 (or 689009 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 66.

The spelling of 66968148640512 in words is "sixty-six trillion, nine hundred sixty-eight billion, one hundred forty-eight million, six hundred forty thousand, five hundred twelve".