82982667663360 has 672 divisors, whose sum is σ = 311508233356320. Its totient is φ = 21166549696512.

The previous prime is 82982667663299. The next prime is 82982667663407. The reversal of 82982667663360 is 6336676628928.

It is a happy number.

82982667663360 is a `hidden beast` number, since 8 + 2 + 9 + 82 + 66 + 76 + 63 + 360 = 666.

It is a super-2 number, since 2×82982667663360² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 171452422 + ... + 171935738.

It is an arithmetic number, because the mean of its divisors is an integer number (463553918685).

Almost surely, 2^{82982667663360} is an apocalyptic number.

82982667663360 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 82982667663360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155754116678160).

82982667663360 is an abundant number, since it is smaller than the sum of its proper divisors (228525565692960).

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

82982667663360 is an equidigital number, since it uses as much as digits as its factorization.

82982667663360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483385 (or 483350 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 72.

The spelling of 82982667663360 in words is "eighty-two trillion, nine hundred eighty-two billion, six hundred sixty-seven million, six hundred sixty-three thousand, three hundred sixty".