66051066816 has 224 divisors, whose sum is σ = 227916922880. Its totient is φ = 18361562112.

The previous prime is 66051066749. The next prime is 66051066817. The reversal of 66051066816 is 61866015066.

66051066816 is a `hidden beast` number, since 6 + 60 + 510 + 6 + 68 + 16 = 666.

66051066816 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 (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66051066817) 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, 373761 + ... + 521343.

Almost surely, 2^66051066816 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 66051066816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113958461440).

66051066816 is an abundant number, since it is smaller than the sum of its proper divisors (161865856064).

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

66051066816 is a wasteful number, since it uses less digits than its factorization.

66051066816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147648 (or 147632 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 66051066816 in words is "sixty-six billion, fifty-one million, sixty-six thousand, eight hundred sixteen".