8632882368 has 224 divisors, whose sum is σ = 28041600000. Its totient is φ = 2582461440.

The previous prime is 8632882361. The next prime is 8632882381.

8632882368 is a `hidden beast` number, since 86 + 328 + 8 + 236 + 8 = 666.

8632882368 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8632882361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1498758 + ... + 1504506.

Almost surely, 2^8632882368 is an apocalyptic number.

8632882368 is a gapful number since it is divisible by the number (88) 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 8632882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14020800000).

8632882368 is an abundant number, since it is smaller than the sum of its proper divisors (19408717632).

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

8632882368 is a wasteful number, since it uses less digits than its factorization.

8632882368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5844 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 8632882368 is about 92913.3056564021. The cubic root of 8632882368 is about 2051.4075099380.

The spelling of 8632882368 in words is "eight billion, six hundred thirty-two million, eight hundred eighty-two thousand, three hundred sixty-eight".