8256620736 has 504 divisors, whose sum is σ = 30627919440. Its totient is φ = 2173796352.

The previous prime is 8256620731. The next prime is 8256620747. The reversal of 8256620736 is 6370266528.

It is a happy number.

8256620736 is a `hidden beast` number, since 82 + 566 + 2 + 0 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 8256620691 and 8256620700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8256620731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14309280 + ... + 14309856.

Almost surely, 2^8256620736 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 8256620736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15313959720).

8256620736 is an abundant number, since it is smaller than the sum of its proper divisors (22371298704).

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

8256620736 is a wasteful number, since it uses less digits than its factorization.

8256620736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 8256620736 is about 90865.9492659379. The cubic root of 8256620736 is about 2021.1603906976.

The spelling of 8256620736 in words is "eight billion, two hundred fifty-six million, six hundred twenty thousand, seven hundred thirty-six".