8384820480 has 432 divisors, whose sum is σ = 30580333056. Its totient is φ = 2118205440.

The previous prime is 8384820469. The next prime is 8384820481. The reversal of 8384820480 is 840284838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8384820481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18927139 + ... + 18927581.

It is an arithmetic number, because the mean of its divisors is an integer number (70787808).

Almost surely, 2^8384820480 is an apocalyptic number.

8384820480 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 8384820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15290166528).

8384820480 is an abundant number, since it is smaller than the sum of its proper divisors (22195512576).

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

8384820480 is a wasteful number, since it uses less digits than its factorization.

8384820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The square root of 8384820480 is about 91568.6653828699. The cubic root of 8384820480 is about 2031.5674984191.

The spelling of 8384820480 in words is "eight billion, three hundred eighty-four million, eight hundred twenty thousand, four hundred eighty".