6000349824 has 192 divisors, whose sum is σ = 19847143680. Its totient is φ = 1704499200.

The previous prime is 6000349813. The next prime is 6000349841. The reversal of 6000349824 is 4289430006.

It is a happy number.

6000349824 is a `hidden beast` number, since 600 + 0 + 3 + 49 + 8 + 2 + 4 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1457529 + ... + 1461639.

It is an arithmetic number, because the mean of its divisors is an integer number (103370540).

Almost surely, 2^6000349824 is an apocalyptic number.

6000349824 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 6000349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9923571840).

6000349824 is an abundant number, since it is smaller than the sum of its proper divisors (13846793856).

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

6000349824 is a wasteful number, since it uses less digits than its factorization.

6000349824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4319 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6000349824 is about 77461.9249954453. The cubic root of 6000349824 is about 1817.1559072788.

The spelling of 6000349824 in words is "six billion, three hundred forty-nine thousand, eight hundred twenty-four".