6006824960 has 112 divisors (see below), whose sum is σ = 14692798656. Its totient is φ = 2356543488.

The previous prime is 6006824951. The next prime is 6006825023. The reversal of 6006824960 is 694286006.

It is a super-2 number, since 2×6006824960² = 72163892200158003200, 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 7 ways as a sum of consecutive naturals, for example, 2169497 + ... + 2172263.

Almost surely, 2^6006824960 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 6006824960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7346399328).

6006824960 is an abundant number, since it is smaller than the sum of its proper divisors (8685973696).

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

6006824960 is an equidigital number, since it uses as much as digits as its factorization.

6006824960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 6006824960 is about 77503.7093305862. The cubic root of 6006824960 is about 1817.8093192776.

The spelling of 6006824960 in words is "six billion, six million, eight hundred twenty-four thousand, nine hundred sixty".