8826745536 has 336 divisors, whose sum is σ = 30219904000. Its totient is φ = 2460907008.

The previous prime is 8826745531. The next prime is 8826745549. The reversal of 8826745536 is 6355476288.

8826745536 is a `hidden beast` number, since 8 + 8 + 2 + 67 + 45 + 536 = 666.

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

It is a super-4 number, since 4×8826745536⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (8826745531) 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, 8494905 + ... + 8495943.

Almost surely, 2^8826745536 is an apocalyptic number.

8826745536 is a gapful number since it is divisible by the number (86) 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 8826745536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15109952000).

8826745536 is an abundant number, since it is smaller than the sum of its proper divisors (21393158464).

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

8826745536 is a wasteful number, since it uses less digits than its factorization.

8826745536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1094 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 8826745536 is about 93950.7612316154. The cubic root of 8826745536 is about 2066.6496977217.

The spelling of 8826745536 in words is "eight billion, eight hundred twenty-six million, seven hundred forty-five thousand, five hundred thirty-six".