30768324702768 has 960 divisors, whose sum is σ = 101799084441600. Its totient is φ = 8938378874880.

The previous prime is 30768324702767. The next prime is 30768324702793. The reversal of 30768324702768 is 86720742386703.

30768324702768 is a `hidden beast` number, since 3 + 0 + 7 + 6 + 83 + 2 + 470 + 27 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (30768324702767) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10218638383 + ... + 10218641393.

It is an arithmetic number, because the mean of its divisors is an integer number (106040712960).

Almost surely, 2^{30768324702768} is an apocalyptic number.

30768324702768 is a gapful number since it is divisible by the number (38) 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 30768324702768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50899542220800).

30768324702768 is an abundant number, since it is smaller than the sum of its proper divisors (71030759738832).

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

30768324702768 is a wasteful number, since it uses less digits than its factorization.

30768324702768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3234 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 30768324702768 in words is "thirty trillion, seven hundred sixty-eight billion, three hundred twenty-four million, seven hundred two thousand, seven hundred sixty-eight".