30030600006 has 96 divisors (see below), whose sum is σ = 72971877888. Its totient is φ = 8845485120.

The previous prime is 30030599993. The next prime is 30030600013. The reversal of 30030600006 is 60000603003.

30030600006 is a `hidden beast` number, since 30 + 0 + 30 + 600 + 0 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14555731 + ... + 14557793.

It is an arithmetic number, because the mean of its divisors is an integer number (760123728).

Almost surely, 2^30030600006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30030600006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36485938944).

30030600006 is an abundant number, since it is smaller than the sum of its proper divisors (42941277882).

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

30030600006 is a wasteful number, since it uses less digits than its factorization.

30030600006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4106 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 30030 and 600006, that added together give a palindrome (630036).

The spelling of 30030600006 in words is "thirty billion, thirty million, six hundred thousand, six".