8422579920 has 160 divisors (see below), whose sum is σ = 27526809600. Its totient is φ = 2124513792.

The previous prime is 8422579897. The next prime is 8422579927. The reversal of 8422579920 is 299752248.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8422579920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8422579927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4481541 + ... + 4483419.

It is an arithmetic number, because the mean of its divisors is an integer number (172042560).

Almost surely, 2^8422579920 is an apocalyptic number.

8422579920 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 8422579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13763404800).

8422579920 is an abundant number, since it is smaller than the sum of its proper divisors (19104229680).

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

8422579920 is a wasteful number, since it uses less digits than its factorization.

8422579920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2897 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 8422579920 is about 91774.6147908015. The cubic root of 8422579920 is about 2034.6125243512.

The spelling of 8422579920 in words is "eight billion, four hundred twenty-two million, five hundred seventy-nine thousand, nine hundred twenty".