6009384096 has 72 divisors (see below), whose sum is σ = 17115658560. Its totient is φ = 2000025216.

The previous prime is 6009384083. The next prime is 6009384097. The reversal of 6009384096 is 6904839006.

6009384096 is a `hidden beast` number, since 600 + 9 + 38 + 4 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×6009384096³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (6009384097) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 173961 + ... + 205623.

It is an arithmetic number, because the mean of its divisors is an integer number (237717480).

Almost surely, 2^6009384096 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 6009384096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8557829280).

6009384096 is an abundant number, since it is smaller than the sum of its proper divisors (11106274464).

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

6009384096 is a wasteful number, since it uses less digits than its factorization.

6009384096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32338 (or 32327 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 6009384096 is about 77520.2173371566. The cubic root of 6009384096 is about 1818.0674346054.

The spelling of 6009384096 in words is "six billion, nine million, three hundred eighty-four thousand, ninety-six".