66002663661700 has 144 divisors (see below), whose sum is σ = 146372351601168. Its totient is φ = 25826088960000.

The previous prime is 66002663661691. The next prime is 66002663661707. The reversal of 66002663661700 is 716636620066.

It can be written as a sum of positive squares in 24 ways, for example, as 64992361262656 + 1010302399044 = 8061784^2 + 1005138^2 .

It is a super-2 number, since 2×66002663661700² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66002663661707) 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, 1118716602 + ... + 1118775598.

It is an arithmetic number, because the mean of its divisors is an integer number (1016474663897).

Almost surely, 2^{66002663661700} 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 66002663661700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73186175800584).

66002663661700 is an abundant number, since it is smaller than the sum of its proper divisors (80369687939468).

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

66002663661700 is a wasteful number, since it uses less digits than its factorization.

66002663661700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60074 (or 60067 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 49.

The spelling of 66002663661700 in words is "sixty-six trillion, two billion, six hundred sixty-three million, six hundred sixty-one thousand, seven hundred".