8032482754560 has 1600 divisors, whose sum is σ = 33252074856000. Its totient is φ = 1834588569600.

The previous prime is 8032482754553. The next prime is 8032482754567. The reversal of 8032482754560 is 654572842308.

8032482754560 is a `hidden beast` number, since 8 + 0 + 3 + 2 + 4 + 8 + 2 + 75 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (8032482754553) and next prime (8032482754567).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8032482754497 and 8032482754506.

It is not an unprimeable number, because it can be changed into a prime (8032482754567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44378357670 + ... + 44378357850.

It is an arithmetic number, because the mean of its divisors is an integer number (20782546785).

Almost surely, 2^{8032482754560} is an apocalyptic number.

8032482754560 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 8032482754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16626037428000).

8032482754560 is an abundant number, since it is smaller than the sum of its proper divisors (25219592101440).

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

8032482754560 is an equidigital number, since it uses as much as digits as its factorization.

8032482754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 8032482754560 in words is "eight trillion, thirty-two billion, four hundred eighty-two million, seven hundred fifty-four thousand, five hundred sixty".