8305608480 has 192 divisors, whose sum is σ = 28426930560. Its totient is φ = 2026192896.

The previous prime is 8305608461. The next prime is 8305608503. The reversal of 8305608480 is 848065038.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699231 + ... + 711009.

It is an arithmetic number, because the mean of its divisors is an integer number (148056930).

Almost surely, 2^8305608480 is an apocalyptic number.

8305608480 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 8305608480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14213465280).

8305608480 is an abundant number, since it is smaller than the sum of its proper divisors (20121322080).

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

8305608480 is a wasteful number, since it uses less digits than its factorization.

8305608480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11923 (or 11915 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 8305608480 is about 91135.1111262833. Note that the first 4 decimals coincide. The cubic root of 8305608480 is about 2025.1497916934.

The spelling of 8305608480 in words is "eight billion, three hundred five million, six hundred eight thousand, four hundred eighty".