30796406784 has 672 divisors, whose sum is σ = 109917609984. Its totient is φ = 8174960640.

The previous prime is 30796406783. The next prime is 30796406813. The reversal of 30796406784 is 48760469703.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 30796406784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30796406783) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242491329 + ... + 242491455.

It is an arithmetic number, because the mean of its divisors is an integer number (163567872).

Almost surely, 2^30796406784 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 30796406784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54958804992).

30796406784 is an abundant number, since it is smaller than the sum of its proper divisors (79121203200).

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

30796406784 is a wasteful number, since it uses less digits than its factorization.

30796406784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

It can be divided in two parts, 30796 and 406784, that added together give a triangular number (437580 = T₉₃₅).

The spelling of 30796406784 in words is "thirty billion, seven hundred ninety-six million, four hundred six thousand, seven hundred eighty-four".