8221458720 has 48 divisors (see below), whose sum is σ = 25897596480. Its totient is φ = 2192388864.

The previous prime is 8221458673. The next prime is 8221458727. The reversal of 8221458720 is 278541228.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (8221458727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8563540 + ... + 8564499.

It is an arithmetic number, because the mean of its divisors is an integer number (539533260).

Almost surely, 2^8221458720 is an apocalyptic number.

8221458720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8221458720 is an abundant number, since it is smaller than the sum of its proper divisors (17676137760).

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

8221458720 is a wasteful number, since it uses less digits than its factorization.

8221458720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17128057 (or 17128049 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 8221458720 is about 90672.2599255142. The cubic root of 8221458720 is about 2018.2871733447.

Adding to 8221458720 its reverse (278541228), we get a palindrome (8499999948).

The spelling of 8221458720 in words is "eight billion, two hundred twenty-one million, four hundred fifty-eight thousand, seven hundred twenty".