30742806528 has 576 divisors, whose sum is σ = 111735832320. Its totient is φ = 8153726976.

The previous prime is 30742806517. The next prime is 30742806557. The reversal of 30742806528 is 82560824703.

30742806528 is a `hidden beast` number, since 3 + 0 + 7 + 42 + 80 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421134300 + ... + 421134372.

It is an arithmetic number, because the mean of its divisors is an integer number (193985820).

Almost surely, 2^30742806528 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 30742806528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55867916160).

30742806528 is an abundant number, since it is smaller than the sum of its proper divisors (80993025792).

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

30742806528 is an frugal number, since it uses more digits than its factorization.

30742806528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 30742806528 in words is "thirty billion, seven hundred forty-two million, eight hundred six thousand, five hundred twenty-eight".