6536509056 has 768 divisors, whose sum is σ = 25535088000. Its totient is φ = 1639249920.

The previous prime is 6536509039. The next prime is 6536509073. The reversal of 6536509056 is 6509056356.

6536509056 is a `hidden beast` number, since 65 + 36 + 509 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (6536509039) and next prime (6536509073).

It is a super-2 number, since 2×6536509056² = 85451901278340022272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225396850 + ... + 225396878.

Almost surely, 2^6536509056 is an apocalyptic number.

6536509056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6536509056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12767544000).

6536509056 is an abundant number, since it is smaller than the sum of its proper divisors (18998578944).

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

6536509056 is a wasteful number, since it uses less digits than its factorization.

6536509056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The square root of 6536509056 is about 80848.6799892243. The cubic root of 6536509056 is about 1869.7431711874.

The spelling of 6536509056 in words is "six billion, five hundred thirty-six million, five hundred nine thousand, fifty-six".