30680424960 has 480 divisors, whose sum is σ = 108901279872. Its totient is φ = 7353139200.

The previous prime is 30680424947. The next prime is 30680424961. The reversal of 30680424960 is 6942408603.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (30680424961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51048660 + ... + 51049260.

Almost surely, 2^30680424960 is an apocalyptic number.

30680424960 is a gapful number since it is divisible by the number (30) 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 30680424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54450639936).

30680424960 is an abundant number, since it is smaller than the sum of its proper divisors (78220854912).

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

30680424960 is a wasteful number, since it uses less digits than its factorization.

30680424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 30680424960 in words is "thirty billion, six hundred eighty million, four hundred twenty-four thousand, nine hundred sixty".