7682082467760 has 1280 divisors, whose sum is σ = 29035841587200. Its totient is φ = 1862358220800.

The previous prime is 7682082467671. The next prime is 7682082467767. The reversal of 7682082467760 is 677642802867.

7682082467760 is a `hidden beast` number, since 7 + 6 + 8 + 20 + 82 + 467 + 76 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (7682082467767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9472357755 + ... + 9472358565.

It is an arithmetic number, because the mean of its divisors is an integer number (22684251240).

Almost surely, 2^{7682082467760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7682082467760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14517920793600).

7682082467760 is an abundant number, since it is smaller than the sum of its proper divisors (21353759119440).

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

7682082467760 is a wasteful number, since it uses less digits than its factorization.

7682082467760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 7682082467760 in words is "seven trillion, six hundred eighty-two billion, eighty-two million, four hundred sixty-seven thousand, seven hundred sixty".