6009331680 has 288 divisors, whose sum is σ = 23201313408. Its totient is φ = 1456704000.

The previous prime is 6009331637. The next prime is 6009331697. The reversal of 6009331680 is 861339006.

It is a happy number.

6009331680 is a `hidden beast` number, since 600 + 9 + 33 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6009331680² = 72224134480503244800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420655 + ... + 434705.

It is an arithmetic number, because the mean of its divisors is an integer number (80560116).

Almost surely, 2^6009331680 is an apocalyptic number.

6009331680 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 6009331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11600656704).

6009331680 is an abundant number, since it is smaller than the sum of its proper divisors (17191981728).

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

6009331680 is a wasteful number, since it uses less digits than its factorization.

6009331680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14092 (or 14072 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6009331680 is about 77519.8792568719. The cubic root of 6009331680 is about 1818.0621486449.

The spelling of 6009331680 in words is "six billion, nine million, three hundred thirty-one thousand, six hundred eighty".