82680008383440 has 280 divisors, whose sum is σ = 310385046663720. Its totient is φ = 20352001876992.

The previous prime is 82680008383417. The next prime is 82680008383459. The reversal of 82680008383440 is 4438380008628.

82680008383440 is a `hidden beast` number, since 8 + 268 + 0 + 0 + 0 + 8 + 38 + 344 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7912788969024 + 74767219414416 = 2812968^2 + 8646804^2 .

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 55 ways as a sum of consecutive naturals, for example, 53768595 + ... + 55284914.

It is an arithmetic number, because the mean of its divisors is an integer number (1108518023799).

Almost surely, 2^{82680008383440} is an apocalyptic number.

82680008383440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82680008383440 is an abundant number, since it is smaller than the sum of its proper divisors (227705038280280).

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

82680008383440 is a wasteful number, since it uses less digits than its factorization.

82680008383440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109053553 (or 109053532 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 82680008383440 in words is "eighty-two trillion, six hundred eighty billion, eight million, three hundred eighty-three thousand, four hundred forty".