6609573590256 has 720 divisors, whose sum is σ = 24448141885440. Its totient is φ = 1647669703680.

The previous prime is 6609573590219. The next prime is 6609573590267. The reversal of 6609573590256 is 6520953759066.

6609573590256 is a `hidden beast` number, since 6 + 6 + 0 + 9 + 573 + 5 + 9 + 0 + 2 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6609573590193 and 6609573590202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 806927121 + ... + 806935311.

Almost surely, 2^{6609573590256} 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 6609573590256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12224070942720).

6609573590256 is an abundant number, since it is smaller than the sum of its proper divisors (17838568295184).

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

6609573590256 is a wasteful number, since it uses less digits than its factorization.

6609573590256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 6609573590256 in words is "six trillion, six hundred nine billion, five hundred seventy-three million, five hundred ninety thousand, two hundred fifty-six".