8636221440 has 576 divisors, whose sum is σ = 37347972480. Its totient is φ = 1793064960.

The previous prime is 8636221439. The next prime is 8636221453. The reversal of 8636221440 is 441226368.

8636221440 is a `hidden beast` number, since 8 + 636 + 2 + 2 + 14 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8636221395 and 8636221404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7095712 + ... + 7096928.

It is an arithmetic number, because the mean of its divisors is an integer number (64840230).

Almost surely, 2^8636221440 is an apocalyptic number.

8636221440 is a gapful number since it is divisible by the number (80) 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 8636221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18673986240).

8636221440 is an abundant number, since it is smaller than the sum of its proper divisors (28711751040).

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

8636221440 is a wasteful number, since it uses less digits than its factorization.

8636221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8636221440 is about 92931.2726696455. The cubic root of 8636221440 is about 2051.6719606024.

The spelling of 8636221440 in words is "eight billion, six hundred thirty-six million, two hundred twenty-one thousand, four hundred forty".