8320344480 has 288 divisors, whose sum is σ = 32702237568. Its totient is φ = 1886976000.

The previous prime is 8320344457. The next prime is 8320344497. The reversal of 8320344480 is 844430238.

8320344480 is a `hidden beast` number, since 8 + 3 + 203 + 4 + 448 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1317330 + ... + 1323630.

It is an arithmetic number, because the mean of its divisors is an integer number (113549436).

Almost surely, 2^8320344480 is an apocalyptic number.

8320344480 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 8320344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16351118784).

8320344480 is an abundant number, since it is smaller than the sum of its proper divisors (24381893088).

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

8320344480 is a wasteful number, since it uses less digits than its factorization.

8320344480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6460 (or 6449 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 8320344480 is about 91215.9222943012. The cubic root of 8320344480 is about 2026.3467730518.

The spelling of 8320344480 in words is "eight billion, three hundred twenty million, three hundred forty-four thousand, four hundred eighty".