66143132568576 has 1056 divisors, whose sum is σ = 232212335040000. Its totient is φ = 18218125393920.

The previous prime is 66143132568559. The next prime is 66143132568701. The reversal of 66143132568576 is 67586523134166.

66143132568576 is a `hidden beast` number, since 6 + 6 + 1 + 4 + 3 + 1 + 3 + 2 + 56 + 8 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 64909844995 + ... + 64909846013.

Almost surely, 2^{66143132568576} 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 66143132568576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116106167520000).

66143132568576 is an abundant number, since it is smaller than the sum of its proper divisors (166069202471424).

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

66143132568576 is a wasteful number, since it uses less digits than its factorization.

66143132568576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466 (or 1411 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 66143132568576 in words is "sixty-six trillion, one hundred forty-three billion, one hundred thirty-two million, five hundred sixty-eight thousand, five hundred seventy-six".