30471936768 has 864 divisors, whose sum is σ = 115709368320. Its totient is φ = 7493713920.

The previous prime is 30471936763. The next prime is 30471936779. The reversal of 30471936768 is 86763917403.

It is not an unprimeable number, because it can be changed into a prime (30471936763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 342381268 + ... + 342381356.

It is an arithmetic number, because the mean of its divisors is an integer number (133922880).

Almost surely, 2^30471936768 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 30471936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57854684160).

30471936768 is an abundant number, since it is smaller than the sum of its proper divisors (85237431552).

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

30471936768 is a wasteful number, since it uses less digits than its factorization.

30471936768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 30471936768 in words is "thirty billion, four hundred seventy-one million, nine hundred thirty-six thousand, seven hundred sixty-eight".