66733868570112 has 640 divisors, whose sum is σ = 207195182409600. Its totient is φ = 21179985297408.

The previous prime is 66733868570111. The next prime is 66733868570113. The reversal of 66733868570112 is 21107586833766.

It is a happy number.

66733868570112 is a `hidden beast` number, since 6 + 6 + 73 + 386 + 8 + 5 + 70 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (66733868570111) and next prime (66733868570113).

It is a self number, because there is not a number n which added to its sum of digits gives 66733868570112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66733868570111) 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, 11393862288 + ... + 11393868144.

It is an arithmetic number, because the mean of its divisors is an integer number (323742472515).

Almost surely, 2^{66733868570112} 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 66733868570112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103597591204800).

66733868570112 is an abundant number, since it is smaller than the sum of its proper divisors (140461313839488).

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

66733868570112 is a wasteful number, since it uses less digits than its factorization.

66733868570112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6281 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 66733868570112 in words is "sixty-six trillion, seven hundred thirty-three billion, eight hundred sixty-eight million, five hundred seventy thousand, one hundred twelve".