30319382632068 has 240 divisors, whose sum is σ = 85940856517824. Its totient is φ = 9283625809920.

The previous prime is 30319382632067. The next prime is 30319382632079. The reversal of 30319382632068 is 86023628391303.

It is a happy number.

30319382632068 is a `hidden beast` number, since 3 + 0 + 319 + 3 + 8 + 263 + 2 + 0 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30319382632067) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 312822471 + ... + 312919377.

Almost surely, 2^{30319382632068} 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 30319382632068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42970428258912).

30319382632068 is an abundant number, since it is smaller than the sum of its proper divisors (55621473885756).

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

30319382632068 is a wasteful number, since it uses less digits than its factorization.

30319382632068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98304 (or 98293 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 30319382632068 in words is "thirty trillion, three hundred nineteen billion, three hundred eighty-two million, six hundred thirty-two thousand, sixty-eight".