82040210640 has 320 divisors, whose sum is σ = 295781068800. Its totient is φ = 20861508096.

The previous prime is 82040210633. The next prime is 82040210657. The reversal of 82040210640 is 4601204028.

82040210640 is a `hidden beast` number, since 8 + 2 + 0 + 4 + 0 + 2 + 10 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17236581 + ... + 17241339.

It is an arithmetic number, because the mean of its divisors is an integer number (924315840).

Almost surely, 2^82040210640 is an apocalyptic number.

82040210640 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 82040210640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147890534400).

82040210640 is an abundant number, since it is smaller than the sum of its proper divisors (213740858160).

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

82040210640 is a wasteful number, since it uses less digits than its factorization.

82040210640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5139 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 82040210640 its reverse (4601204028), we get a palindrome (86641414668).

The spelling of 82040210640 in words is "eighty-two billion, forty million, two hundred ten thousand, six hundred forty".