6008413320 has 768 divisors, whose sum is σ = 25945920000. Its totient is φ = 1194891264.

The previous prime is 6008413283. The next prime is 6008413331. The reversal of 6008413320 is 233148006.

It is a happy number.

6008413320 is a `hidden beast` number, since 600 + 8 + 4 + 1 + 33 + 20 = 666.

It is a super-2 number, since 2×6008413320² = 72202061247906844800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30499462 + ... + 30499658.

It is an arithmetic number, because the mean of its divisors is an integer number (33783750).

Almost surely, 2^6008413320 is an apocalyptic number.

6008413320 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 6008413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972960000).

6008413320 is an abundant number, since it is smaller than the sum of its proper divisors (19937506680).

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

6008413320 is a wasteful number, since it uses less digits than its factorization.

6008413320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6008413320 is about 77513.9556467092. The cubic root of 6008413320 is about 1817.9695304358.

The spelling of 6008413320 in words is "six billion, eight million, four hundred thirteen thousand, three hundred twenty".