66961760900 has 36 divisors (see below), whose sum is σ = 147769865040. Its totient is φ = 26330724000.

The previous prime is 66961760863. The next prime is 66961760909. The reversal of 66961760900 is 906716966.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (66961760909) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5668826 + ... + 5680625.

Almost surely, 2^66961760900 is an apocalyptic number.

It is an amenable number.

66961760900 is an abundant number, since it is smaller than the sum of its proper divisors (80808104140).

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

66961760900 is a wasteful number, since it uses less digits than its factorization.

66961760900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11349524 (or 11349517 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 50.

The spelling of 66961760900 in words is "sixty-six billion, nine hundred sixty-one million, seven hundred sixty thousand, nine hundred".