6005056640 has 256 divisors, whose sum is σ = 16286054400. Its totient is φ = 2098360320.

The previous prime is 6005056621. The next prime is 6005056643. The reversal of 6005056640 is 466505006.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 6005056597 and 6005056606.

It is not an unprimeable number, because it can be changed into a prime (6005056643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25125641 + ... + 25125879.

It is an arithmetic number, because the mean of its divisors is an integer number (63617400).

Almost surely, 2^6005056640 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 6005056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8143027200).

6005056640 is an abundant number, since it is smaller than the sum of its proper divisors (10280997760).

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

6005056640 is a wasteful number, since it uses less digits than its factorization.

6005056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 6005056640 is about 77492.3005207614. The cubic root of 6005056640 is about 1817.6309230878.

The spelling of 6005056640 in words is "six billion, five million, fifty-six thousand, six hundred forty".