8009221680 has 240 divisors, whose sum is σ = 28370684160. Its totient is φ = 2099291904.

The previous prime is 8009221663. The next prime is 8009221709. The reversal of 8009221680 is 861229008.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1143469 + ... + 1150451.

It is an arithmetic number, because the mean of its divisors is an integer number (118211184).

Almost surely, 2^8009221680 is an apocalyptic number.

8009221680 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 8009221680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185342080).

8009221680 is an abundant number, since it is smaller than the sum of its proper divisors (20361462480).

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

8009221680 is a wasteful number, since it uses less digits than its factorization.

8009221680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070 (or 7052 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8009221680 is about 89494.2550111458. The cubic root of 8009221680 is about 2000.7681782466.

The spelling of 8009221680 in words is "eight billion, nine million, two hundred twenty-one thousand, six hundred eighty".