6004407360 has 896 divisors, whose sum is σ = 24906792960. Its totient is φ = 1194393600.

The previous prime is 6004407359. The next prime is 6004407371. The reversal of 6004407360 is 637044006.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 146448940 + ... + 146448980.

It is an arithmetic number, because the mean of its divisors is an integer number (27797760).

Almost surely, 2^6004407360 is an apocalyptic number.

6004407360 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 6004407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12453396480).

6004407360 is an abundant number, since it is smaller than the sum of its proper divisors (18902385600).

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

6004407360 is a wasteful number, since it uses less digits than its factorization.

6004407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 6004407360 is about 77488.1110880889. Note that the first 3 decimals coincide. The cubic root of 6004407360 is about 1817.5654119687.

The spelling of 6004407360 in words is "six billion, four million, four hundred seven thousand, three hundred sixty".