66544359552 has 384 divisors, whose sum is σ = 225523958400. Its totient is φ = 18620743680.

The previous prime is 66544359527. The next prime is 66544359569. The reversal of 66544359552 is 25595344566.

66544359552 is a `hidden beast` number, since 6 + 6 + 5 + 4 + 43 + 595 + 5 + 2 = 666.

66544359552 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 (384).

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, 8448288 + ... + 8456160.

It is an arithmetic number, because the mean of its divisors is an integer number (587301975).

Almost surely, 2^66544359552 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 66544359552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112761979200).

66544359552 is an abundant number, since it is smaller than the sum of its proper divisors (158979598848).

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

66544359552 is a wasteful number, since it uses less digits than its factorization.

66544359552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7956 (or 7941 counting only the distinct ones).

The product of its digits is 19440000, while the sum is 54.

The spelling of 66544359552 in words is "sixty-six billion, five hundred forty-four million, three hundred fifty-nine thousand, five hundred fifty-two".