66355630560 has 288 divisors, whose sum is σ = 230422413312. Its totient is φ = 17386306560.

The previous prime is 66355630553. The next prime is 66355630631. The reversal of 66355630560 is 6503655366.

66355630560 is a `hidden beast` number, since 6 + 6 + 3 + 5 + 5 + 630 + 5 + 6 + 0 = 666.

66355630560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19566465 + ... + 19569855.

It is an arithmetic number, because the mean of its divisors is an integer number (800077824).

Almost surely, 2^66355630560 is an apocalyptic number.

66355630560 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 66355630560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115211206656).

66355630560 is an abundant number, since it is smaller than the sum of its proper divisors (164066782752).

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

66355630560 is a wasteful number, since it uses less digits than its factorization.

66355630560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The spelling of 66355630560 in words is "sixty-six billion, three hundred fifty-five million, six hundred thirty thousand, five hundred sixty".