6013303920 has 900 divisors, whose sum is σ = 25288191720. Its totient is φ = 1319804928.

The previous prime is 6013303913. The next prime is 6013303951. The reversal of 6013303920 is 293033106.

6013303920 is a `hidden beast` number, since 601 + 3 + 3 + 0 + 39 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 316489671 + ... + 316489689.

Almost surely, 2^6013303920 is an apocalyptic number.

6013303920 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 6013303920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12644095860).

6013303920 is an abundant number, since it is smaller than the sum of its proper divisors (19274887800).

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

6013303920 is a wasteful number, since it uses less digits than its factorization.

6013303920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 6013303920 is about 77545.4958073001. The cubic root of 6013303920 is about 1818.4626473432.

The spelling of 6013303920 in words is "six billion, thirteen million, three hundred three thousand, nine hundred twenty".