8302656480 has 192 divisors, whose sum is σ = 27716774400. Its totient is φ = 2083276800.

The previous prime is 8302656463. The next prime is 8302656487. The reversal of 8302656480 is 846562038.

It is a super-3 number, since 3×8302656480³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8302656487) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1374106 + ... + 1380134.

It is an arithmetic number, because the mean of its divisors is an integer number (144358200).

Almost surely, 2^8302656480 is an apocalyptic number.

8302656480 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 8302656480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13858387200).

8302656480 is an abundant number, since it is smaller than the sum of its proper divisors (19414117920).

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

8302656480 is a wasteful number, since it uses less digits than its factorization.

8302656480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6217 (or 6209 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 8302656480 is about 91118.9139531415. The cubic root of 8302656480 is about 2024.9098353392.

The spelling of 8302656480 in words is "eight billion, three hundred two million, six hundred fifty-six thousand, four hundred eighty".