66728567304 has 384 divisors, whose sum is σ = 218861760000. Its totient is φ = 18344019456.

The previous prime is 66728567281. The next prime is 66728567309. The reversal of 66728567304 is 40376582766.

66728567304 is a `hidden beast` number, since 6 + 6 + 72 + 8 + 567 + 3 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (66728567309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94116102 + ... + 94116810.

It is an arithmetic number, because the mean of its divisors is an integer number (569952500).

Almost surely, 2^66728567304 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 66728567304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109430880000).

66728567304 is an abundant number, since it is smaller than the sum of its proper divisors (152133192696).

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

66728567304 is a wasteful number, since it uses less digits than its factorization.

66728567304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 66728567304 in words is "sixty-six billion, seven hundred twenty-eight million, five hundred sixty-seven thousand, three hundred four".