30775815684768 has 1152 divisors, whose sum is σ = 114376601235456. Its totient is φ = 7020409651200.

The previous prime is 30775815684709. The next prime is 30775815684781. The reversal of 30775815684768 is 86748651857703.

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 30775815684768.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2014511946 + ... + 2014527222.

It is an arithmetic number, because the mean of its divisors is an integer number (99285244128).

Almost surely, 2^{30775815684768} 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 30775815684768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57188300617728).

30775815684768 is an abundant number, since it is smaller than the sum of its proper divisors (83600785550688).

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

30775815684768 is a wasteful number, since it uses less digits than its factorization.

30775815684768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15406 (or 15381 counting only the distinct ones).

The product of its (nonzero) digits is 1896652800, while the sum is 75.

The spelling of 30775815684768 in words is "thirty trillion, seven hundred seventy-five billion, eight hundred fifteen million, six hundred eighty-four thousand, seven hundred sixty-eight".