66364560288 has 144 divisors (see below), whose sum is σ = 215197052616. Its totient is φ = 19218677760.

The previous prime is 66364560247. The next prime is 66364560299. The reversal of 66364560288 is 88206546366.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 35589577104 + 30774983184 = 188652^2 + 175428^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 457693 + ... + 584988.

Almost surely, 2^66364560288 is an apocalyptic number.

66364560288 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

66364560288 is an abundant number, since it is smaller than the sum of its proper divisors (148832492328).

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

66364560288 is a wasteful number, since it uses less digits than its factorization.

66364560288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042727 (or 1042716 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 66364560288 in words is "sixty-six billion, three hundred sixty-four million, five hundred sixty thousand, two hundred eighty-eight".