66445660056064 has 160 divisors (see below), whose sum is σ = 146785400847360. Its totient is φ = 29888129728512.

The previous prime is 66445660056049. The next prime is 66445660056067. The reversal of 66445660056064 is 46065006654466.

It is not an unprimeable number, because it can be changed into a prime (66445660056067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287960962 + ... + 288191614.

It is an arithmetic number, because the mean of its divisors is an integer number (917408755296).

Almost surely, 2^{66445660056064} is an apocalyptic number.

66445660056064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66445660056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73392700423680).

66445660056064 is an abundant number, since it is smaller than the sum of its proper divisors (80339740791296).

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

66445660056064 is a wasteful number, since it uses less digits than its factorization.

66445660056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232150 (or 232134 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 58.

The spelling of 66445660056064 in words is "sixty-six trillion, four hundred forty-five billion, six hundred sixty million, fifty-six thousand, sixty-four".