6005090304 has 192 divisors, whose sum is σ = 17945928000. Its totient is φ = 1984020480.

The previous prime is 6005090293. The next prime is 6005090359. The reversal of 6005090304 is 4030905006.

It is a happy number.

6005090304 is a `hidden beast` number, since 600 + 50 + 9 + 0 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6005090304² = 72122219118389624832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7243362 + ... + 7244190.

It is an arithmetic number, because the mean of its divisors is an integer number (93468375).

Almost surely, 2^6005090304 is an apocalyptic number.

6005090304 is a gapful number since it is divisible by the number (64) 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 6005090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8972964000).

6005090304 is an abundant number, since it is smaller than the sum of its proper divisors (11940837696).

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

6005090304 is a wasteful number, since it uses less digits than its factorization.

6005090304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6005090304 is about 77492.5177291330. The cubic root of 6005090304 is about 1817.6343195927.

The spelling of 6005090304 in words is "six billion, five million, ninety thousand, three hundred four".