66293563219968 has 672 divisors, whose sum is σ = 211550821804800. Its totient is φ = 18397674602496.

The previous prime is 66293563219967. The next prime is 66293563219993. The reversal of 66293563219968 is 86991236539266.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 66293563219968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66293563219967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40947227863 + ... + 40947229481.

Almost surely, 2^{66293563219968} 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 66293563219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105775410902400).

66293563219968 is an abundant number, since it is smaller than the sum of its proper divisors (145257258584832).

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

66293563219968 is a wasteful number, since it uses less digits than its factorization.

66293563219968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2587 counting only the distinct ones).

The product of its digits is 1360488960, while the sum is 75.

The spelling of 66293563219968 in words is "sixty-six trillion, two hundred ninety-three billion, five hundred sixty-three million, two hundred nineteen thousand, nine hundred sixty-eight".