66028613184 has 336 divisors, whose sum is σ = 204166516736. Its totient is φ = 21135168000.

The previous prime is 66028613177. The next prime is 66028613197. The reversal of 66028613184 is 48131682066.

66028613184 is a `hidden beast` number, since 6 + 6 + 0 + 28 + 613 + 1 + 8 + 4 = 666.

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, 72798459 + ... + 72799365.

Almost surely, 2^66028613184 is an apocalyptic number.

66028613184 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 66028613184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102083258368).

66028613184 is an abundant number, since it is smaller than the sum of its proper divisors (138137903552).

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

66028613184 is a wasteful number, since it uses less digits than its factorization.

66028613184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 66028613184 in words is "sixty-six billion, twenty-eight million, six hundred thirteen thousand, one hundred eighty-four".