1688083640760 has 64 divisors (see below), whose sum is σ = 5524637374080. Its totient is φ = 409232397440.

The previous prime is 1688083640701. The next prime is 1688083640773. The reversal of 1688083640760 is 670463808861.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1688083640760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 639424302 + ... + 639426941.

It is an arithmetic number, because the mean of its divisors is an integer number (86322458970).

Almost surely, 2^{1688083640760} is an apocalyptic number.

1688083640760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1688083640760 is an abundant number, since it is smaller than the sum of its proper divisors (3836553733320).

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

1688083640760 is a wasteful number, since it uses less digits than its factorization.

1688083640760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278851268 (or 1278851264 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 57.

The spelling of 1688083640760 in words is "one trillion, six hundred eighty-eight billion, eighty-three million, six hundred forty thousand, seven hundred sixty".