30968080416 has 576 divisors, whose sum is σ = 114406096896. Its totient is φ = 7726233600.

The previous prime is 30968080399. The next prime is 30968080433. The reversal of 30968080416 is 61408086903.

It is an interprime number because it is at equal distance from previous prime (30968080399) and next prime (30968080433).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38184651 + ... + 38185461.

It is an arithmetic number, because the mean of its divisors is an integer number (198621696).

Almost surely, 2^30968080416 is an apocalyptic number.

30968080416 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 30968080416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57203048448).

30968080416 is an abundant number, since it is smaller than the sum of its proper divisors (83438016480).

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

30968080416 is a wasteful number, since it uses less digits than its factorization.

30968080416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 30968080416 in words is "thirty billion, nine hundred sixty-eight million, eighty thousand, four hundred sixteen".