30845060064 has 768 divisors, whose sum is σ = 118920130560. Its totient is φ = 7554539520.

The previous prime is 30845060053. The next prime is 30845060143. The reversal of 30845060064 is 46006054803.

30845060064 is a `hidden beast` number, since 3 + 0 + 8 + 45 + 0 + 600 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 66908794 + ... + 66909254.

It is an arithmetic number, because the mean of its divisors is an integer number (154843920).

Almost surely, 2^30845060064 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 30845060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59460065280).

30845060064 is an abundant number, since it is smaller than the sum of its proper divisors (88075070496).

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

30845060064 is a wasteful number, since it uses less digits than its factorization.

30845060064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 30845060064 in words is "thirty billion, eight hundred forty-five million, sixty thousand, sixty-four".