8632806336 has 560 divisors, whose sum is σ = 32396094720. Its totient is φ = 2217093120.

The previous prime is 8632806307. The next prime is 8632806337. The reversal of 8632806336 is 6336082368.

8632806336 is a `hidden beast` number, since 8 + 6 + 3 + 2 + 8 + 0 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8632806291 and 8632806300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8632806337) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96997780 + ... + 96997868.

Almost surely, 2^8632806336 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 8632806336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16198047360).

8632806336 is an abundant number, since it is smaller than the sum of its proper divisors (23763288384).

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

8632806336 is an frugal number, since it uses more digits than its factorization.

8632806336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 8632806336 is about 92912.8964998939. The cubic root of 8632806336 is about 2051.4014874970.

The spelling of 8632806336 in words is "eight billion, six hundred thirty-two million, eight hundred six thousand, three hundred thirty-six".