7682055083640 has 1152 divisors, whose sum is σ = 30734977478400. Its totient is φ = 1656753315840.

The previous prime is 7682055083629. The next prime is 7682055083657. The reversal of 7682055083640 is 463805502867.

7682055083640 is a `hidden beast` number, since 7 + 6 + 8 + 2 + 0 + 550 + 83 + 6 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5398491969 + ... + 5398493391.

It is an arithmetic number, because the mean of its divisors is an integer number (26679667950).

Almost surely, 2^{7682055083640} is an apocalyptic number.

7682055083640 is a gapful number since it is divisible by the number (70) 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 7682055083640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367488739200).

7682055083640 is an abundant number, since it is smaller than the sum of its proper divisors (23052922394760).

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

7682055083640 is a wasteful number, since it uses less digits than its factorization.

7682055083640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 7682055083640 in words is "seven trillion, six hundred eighty-two billion, fifty-five million, eighty-three thousand, six hundred forty".