30609360000 has 640 divisors, whose sum is σ = 116242790400. Its totient is φ = 7921152000.

The previous prime is 30609359899. The next prime is 30609360011. The reversal of 30609360000 is 6390603.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 79919809 + ... + 79920191.

It is an arithmetic number, because the mean of its divisors is an integer number (181629360).

Almost surely, 2^30609360000 is an apocalyptic number.

30609360000 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 30609360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58121395200).

30609360000 is an abundant number, since it is smaller than the sum of its proper divisors (85633430400).

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

30609360000 is an equidigital number, since it uses as much as digits as its factorization.

30609360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The spelling of 30609360000 in words is "thirty billion, six hundred nine million, three hundred sixty thousand".