6005672960 has 176 divisors, whose sum is σ = 17434937664. Its totient is φ = 1937768448.

The previous prime is 6005672947. The next prime is 6005672971. The reversal of 6005672960 is 692765006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 604352 + ... + 614208.

Almost surely, 2^6005672960 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 6005672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8717468832).

6005672960 is an abundant number, since it is smaller than the sum of its proper divisors (11429264704).

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

6005672960 is a wasteful number, since it uses less digits than its factorization.

6005672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9906 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 6005672960 is about 77496.2770718697. The cubic root of 6005672960 is about 1817.6931042369.

The spelling of 6005672960 in words is "six billion, five million, six hundred seventy-two thousand, nine hundred sixty".