30420782208 has 96 divisors (see below), whose sum is σ = 88097066460. Its totient is φ = 10075613184.

The previous prime is 30420782173. The next prime is 30420782221. The reversal of 30420782208 is 80228702403.

30420782208 is a `hidden beast` number, since 3 + 0 + 420 + 7 + 8 + 220 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30250949184 + 169833024 = 173928^2 + 13032^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 96766 + ... + 264962.

Almost surely, 2^30420782208 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 30420782208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44048533230).

30420782208 is an abundant number, since it is smaller than the sum of its proper divisors (57676284252).

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

30420782208 is a wasteful number, since it uses less digits than its factorization.

30420782208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168374 (or 168359 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 30420782208 in words is "thirty billion, four hundred twenty million, seven hundred eighty-two thousand, two hundred eight".