6611000256 has 336 divisors, whose sum is σ = 23473891584. Its totient is φ = 1735630848.

The previous prime is 6611000237. The next prime is 6611000257. The reversal of 6611000256 is 6520001166.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6611000257) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2946271 + ... + 2948513.

Almost surely, 2^6611000256 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 6611000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11736945792).

6611000256 is an abundant number, since it is smaller than the sum of its proper divisors (16862891328).

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

6611000256 is a wasteful number, since it uses less digits than its factorization.

6611000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6611000256 is about 81308.0577556739. The cubic root of 6611000256 is about 1876.8189997706.

The spelling of 6611000256 in words is "six billion, six hundred eleven million, two hundred fifty-six", and thus it is an aban number.