8027456532480 has 3120 divisors, whose sum is σ = 37881264212064. Its totient is φ = 1553737973760.

The previous prime is 8027456532397. The next prime is 8027456532481. The reversal of 8027456532480 is 842356547208.

8027456532480 is a `hidden beast` number, since 8 + 0 + 2 + 7 + 4 + 565 + 32 + 48 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8027456532481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 82757283792 + ... + 82757283888.

Almost surely, 2^{8027456532480} is an apocalyptic number.

8027456532480 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 8027456532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18940632106032).

8027456532480 is an abundant number, since it is smaller than the sum of its proper divisors (29853807679584).

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

8027456532480 is a wasteful number, since it uses less digits than its factorization.

8027456532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 142 counting only the distinct ones).

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

The spelling of 8027456532480 in words is "eight trillion, twenty-seven billion, four hundred fifty-six million, five hundred thirty-two thousand, four hundred eighty".