30045728736 has 768 divisors, whose sum is σ = 105902899200. Its totient is φ = 8211456000.

The previous prime is 30045728731. The next prime is 30045728737. The reversal of 30045728736 is 63782754003.

30045728736 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 572 + 8 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30045728691 and 30045728700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30045728731) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 198978261 + ... + 198978411.

It is an arithmetic number, because the mean of its divisors is an integer number (137894400).

Almost surely, 2^30045728736 is an apocalyptic number.

30045728736 is a gapful number since it is divisible by the number (36) 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 30045728736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52951449600).

30045728736 is an abundant number, since it is smaller than the sum of its proper divisors (75857170464).

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

30045728736 is a wasteful number, since it uses less digits than its factorization.

30045728736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 30045728736 in words is "thirty billion, forty-five million, seven hundred twenty-eight thousand, seven hundred thirty-six".