30661309728 has 240 divisors, whose sum is σ = 103404470400. Its totient is φ = 8730768384.

The previous prime is 30661309703. The next prime is 30661309741. The reversal of 30661309728 is 82790316603.

30661309728 is a `hidden beast` number, since 3 + 0 + 6 + 613 + 0 + 9 + 7 + 28 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5676373 + ... + 5681771.

It is an arithmetic number, because the mean of its divisors is an integer number (430851960).

Almost surely, 2^30661309728 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 30661309728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51702235200).

30661309728 is an abundant number, since it is smaller than the sum of its proper divisors (72743160672).

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

30661309728 is a wasteful number, since it uses less digits than its factorization.

30661309728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5741 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 30661309728 in words is "thirty billion, six hundred sixty-one million, three hundred nine thousand, seven hundred twenty-eight".