82084482480 has 1280 divisors, whose sum is σ = 367976448000. Its totient is φ = 14875176960.

The previous prime is 82084482457. The next prime is 82084482481. The reversal of 82084482480 is 8428448028.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (82084482481) 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 255 ways as a sum of consecutive naturals, for example, 223663257 + ... + 223663623.

It is an arithmetic number, because the mean of its divisors is an integer number (287481600).

Almost surely, 2^82084482480 is an apocalyptic number.

82084482480 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 82084482480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183988224000).

82084482480 is an abundant number, since it is smaller than the sum of its proper divisors (285891965520).

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

82084482480 is a wasteful number, since it uses less digits than its factorization.

82084482480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 82084482480 in words is "eighty-two billion, eighty-four million, four hundred eighty-two thousand, four hundred eighty".