66556945288704 has 320 divisors, whose sum is σ = 192173463111168. Its totient is φ = 20348375040000.

The previous prime is 66556945288703. The next prime is 66556945288753. The reversal of 66556945288704 is 40788254965566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66556945288703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2110022757 + ... + 2110054299.

Almost surely, 2^{66556945288704} is an apocalyptic number.

66556945288704 is a gapful number since it is divisible by the number (64) 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 66556945288704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96086731555584).

66556945288704 is an abundant number, since it is smaller than the sum of its proper divisors (125616517822464).

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

66556945288704 is a wasteful number, since it uses less digits than its factorization.

66556945288704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32249 (or 32233 counting only the distinct ones).

The product of its (nonzero) digits is 3483648000, while the sum is 75.

The spelling of 66556945288704 in words is "sixty-six trillion, five hundred fifty-six billion, nine hundred forty-five million, two hundred eighty-eight thousand, seven hundred four".