66965018176 has 63 divisors (see below), whose sum is σ = 154612465857. Its totient is φ = 28693082880.

The previous prime is 66965018119. The next prime is 66965018201. The reversal of 66965018176 is 67181056966.

It is a happy number.

The square root of 66965018176 is 258776.

It is a perfect power (a square), and thus also a powerful number.

66965018176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 24956416576 + 42008601600 = 157976^2 + 204960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14489146 + ... + 14493766.

Almost surely, 2^66965018176 is an apocalyptic number.

66965018176 is the 258776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66965018176

66965018176 is an abundant number, since it is smaller than the sum of its proper divisors (87647447681).

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

66965018176 is an frugal number, since it uses more digits than its factorization.

66965018176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9268 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The spelling of 66965018176 in words is "sixty-six billion, nine hundred sixty-five million, eighteen thousand, one hundred seventy-six".