8221641000 has 128 divisors (see below), whose sum is σ = 26072616960. Its totient is φ = 2156448000.

The previous prime is 8221640909. The next prime is 8221641007. The reversal of 8221641000 is 1461228.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (8221641007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160537 + ... + 205463.

It is an arithmetic number, because the mean of its divisors is an integer number (203692320).

Almost surely, 2^8221641000 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 8221641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036308480).

8221641000 is an abundant number, since it is smaller than the sum of its proper divisors (17850975960).

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

8221641000 is a wasteful number, since it uses less digits than its factorization.

8221641000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45012 (or 44998 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 8221641000 is about 90673.2650785225. The cubic root of 8221641000 is about 2018.3020892163.

The spelling of 8221641000 in words is "eight billion, two hundred twenty-one million, six hundred forty-one thousand".