8909756856 has 384 divisors, whose sum is σ = 32625815040. Its totient is φ = 2121292800.

The previous prime is 8909756837. The next prime is 8909756857. The reversal of 8909756856 is 6586579098.

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 = 8909756793 and 8909756802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8909756857) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13044691 + ... + 13045373.

It is an arithmetic number, because the mean of its divisors is an integer number (84963060).

Almost surely, 2^8909756856 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 8909756856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16312907520).

8909756856 is an abundant number, since it is smaller than the sum of its proper divisors (23716058184).

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

8909756856 is a wasteful number, since it uses less digits than its factorization.

8909756856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The square root of 8909756856 is about 94391.5083892614. The cubic root of 8909756856 is about 2073.1081110546.

The spelling of 8909756856 in words is "eight billion, nine hundred nine million, seven hundred fifty-six thousand, eight hundred fifty-six".