30194487327664 has 480 divisors, whose sum is σ = 71337382240320. Its totient is φ = 12317329981440.

The previous prime is 30194487327629. The next prime is 30194487327673. The reversal of 30194487327664 is 46672378449103.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30194487327596 and 30194487327605.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12638963782 + ... + 12638966170.

It is an arithmetic number, because the mean of its divisors is an integer number (148619546334).

Almost surely, 2^{30194487327664} is an apocalyptic number.

30194487327664 is a gapful number since it is divisible by the number (34) 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 30194487327664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35668691120160).

30194487327664 is an abundant number, since it is smaller than the sum of its proper divisors (41142894912656).

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

30194487327664 is a wasteful number, since it uses less digits than its factorization.

30194487327664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2677 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 64.

The spelling of 30194487327664 in words is "thirty trillion, one hundred ninety-four billion, four hundred eighty-seven million, three hundred twenty-seven thousand, six hundred sixty-four".