6001713828 has 72 divisors (see below), whose sum is σ = 16569929376. Its totient is φ = 1816531200.

The previous prime is 6001713827. The next prime is 6001713877. The reversal of 6001713828 is 8283171006.

6001713828 is a `hidden beast` number, since 600 + 17 + 1 + 38 + 2 + 8 = 666.

It is a super-3 number, since 3×6001713828³ (a number of 30 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6001713792 and 6001713801.

It is not an unprimeable number, because it can be changed into a prime (6001713827) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 340275 + ... + 357477.

It is an arithmetic number, because the mean of its divisors is an integer number (230137908).

Almost surely, 2^6001713828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6001713828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8284964688).

6001713828 is an abundant number, since it is smaller than the sum of its proper divisors (10568215548).

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

6001713828 is a wasteful number, since it uses less digits than its factorization.

6001713828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18105 (or 18100 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6001713828 is about 77470.7288464488. The cubic root of 6001713828 is about 1817.2935892590.

The spelling of 6001713828 in words is "six billion, one million, seven hundred thirteen thousand, eight hundred twenty-eight".