66143256560640 has 3168 divisors, whose sum is σ = 285336272931840. Its totient is φ = 13862609879040.

The previous prime is 66143256560627. The next prime is 66143256560659. The reversal of 66143256560640 is 4606565234166.

66143256560640 is a `hidden beast` number, since 6 + 6 + 1 + 4 + 3 + 25 + 6 + 5 + 606 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 837256412121 + ... + 837256412199.

Almost surely, 2^{66143256560640} is an apocalyptic number.

66143256560640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66143256560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142668136465920).

66143256560640 is an abundant number, since it is smaller than the sum of its proper divisors (219193016371200).

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

66143256560640 is a wasteful number, since it uses less digits than its factorization.

66143256560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 66143256560640 in words is "sixty-six trillion, one hundred forty-three billion, two hundred fifty-six million, five hundred sixty thousand, six hundred forty".