66800140140672 has 96 divisors (see below), whose sum is σ = 192272275323180. Its totient is φ = 22261163194368.

The previous prime is 66800140140659. The next prime is 66800140140673. The reversal of 66800140140672 is 27604104100866.

66800140140672 is a `hidden beast` number, since 66 + 80 + 0 + 1 + 40 + 1 + 406 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60421767644736 + 6378372495936 = 7773144^2 + 2525544^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×66800140140672³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (66800140140673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2601823 + ... + 11847774.

Almost surely, 2^{66800140140672} is an apocalyptic number.

It is an amenable number.

66800140140672 is an abundant number, since it is smaller than the sum of its proper divisors (125472135182508).

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

66800140140672 is a wasteful number, since it uses less digits than its factorization.

66800140140672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14453630 (or 14453615 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 66800140140672 in words is "sixty-six trillion, eight hundred billion, one hundred forty million, one hundred forty thousand, six hundred seventy-two".