30609423920 has 80 divisors (see below), whose sum is σ = 72296310240. Its totient is φ = 12050583552.

The previous prime is 30609423917. The next prime is 30609424033. The reversal of 30609423920 is 2932490603.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1777592 + ... + 1794728.

It is an arithmetic number, because the mean of its divisors is an integer number (903703878).

Almost surely, 2^30609423920 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 30609423920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36148155120).

30609423920 is an abundant number, since it is smaller than the sum of its proper divisors (41686886320).

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

30609423920 is a wasteful number, since it uses less digits than its factorization.

30609423920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17502 (or 17496 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The spelling of 30609423920 in words is "thirty billion, six hundred nine million, four hundred twenty-three thousand, nine hundred twenty".