82420344647424 has 1080 divisors, whose sum is σ = 287356139642880. Its totient is φ = 23015737737216.

The previous prime is 82420344647281. The next prime is 82420344647479. The reversal of 82420344647424 is 42474644302428.

82420344647424 is a `hidden beast` number, since 8 + 2 + 4 + 203 + 4 + 4 + 6 + 4 + 7 + 424 = 666.

It is a super-2 number, since 2×82420344647424² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 98236405597 + ... + 98236406435.

Almost surely, 2^{82420344647424} is an apocalyptic number.

82420344647424 is a gapful number since it is divisible by the number (84) 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 82420344647424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143678069821440).

82420344647424 is an abundant number, since it is smaller than the sum of its proper divisors (204935794995456).

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

82420344647424 is an equidigital number, since it uses as much as digits as its factorization.

82420344647424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 33030144, while the sum is 54.

The spelling of 82420344647424 in words is "eighty-two trillion, four hundred twenty billion, three hundred forty-four million, six hundred forty-seven thousand, four hundred twenty-four".