6000030000 has 300 divisors, whose sum is σ = 21163319320. Its totient is φ = 1586304000.

The previous prime is 6000029999. The next prime is 6000030017. The reversal of 6000030000 is 300006.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 59 ways as a sum of consecutive naturals, for example, 14669796 + ... + 14670204.

Almost surely, 2^6000030000 is an apocalyptic number.

6000030000 is a gapful number since it is divisible by the number (60) 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 6000030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10581659660).

6000030000 is an abundant number, since it is smaller than the sum of its proper divisors (15163289320).

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

6000030000 is a wasteful number, since it uses less digits than its factorization.

6000030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 6000030000 is about 77459.8605730736. The cubic root of 6000030000 is about 1817.1236213614.

Adding to 6000030000 its reverse (300006), we get a palindrome (6000330006).

It can be divided in two parts, 60000 and 30000, that added together give a square (90000 = 300²).

The spelling of 6000030000 in words is "six billion, thirty thousand", and thus it is an eban number.