66887476128 has 288 divisors, whose sum is σ = 217021109760. Its totient is φ = 19343301120.

The previous prime is 66887476099. The next prime is 66887476147. The reversal of 66887476128 is 82167478866.

66887476128 is a `hidden beast` number, since 6 + 6 + 8 + 8 + 7 + 4 + 7 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 45102075 + ... + 45103557.

It is an arithmetic number, because the mean of its divisors is an integer number (753545520).

Almost surely, 2^66887476128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66887476128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108510554880).

66887476128 is an abundant number, since it is smaller than the sum of its proper divisors (150133633632).

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

66887476128 is a wasteful number, since it uses less digits than its factorization.

66887476128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2152 (or 2141 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 66887476128 in words is "sixty-six billion, eight hundred eighty-seven million, four hundred seventy-six thousand, one hundred twenty-eight".