30730410816 has 448 divisors, whose sum is σ = 98850004992. Its totient is φ = 8244707328.

The previous prime is 30730410811. The next prime is 30730410827. The reversal of 30730410816 is 61801403703.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30730410811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224309500 + ... + 224309636.

Almost surely, 2^30730410816 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 30730410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49425002496).

30730410816 is an abundant number, since it is smaller than the sum of its proper divisors (68119594176).

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

30730410816 is a wasteful number, since it uses less digits than its factorization.

30730410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 30730410816 in words is "thirty billion, seven hundred thirty million, four hundred ten thousand, eight hundred sixteen".