1688117693340 has 96 divisors (see below), whose sum is σ = 5162018996736. Its totient is φ = 409684020480.

The previous prime is 1688117693279. The next prime is 1688117693389. The reversal of 1688117693340 is 433967118861.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15185842 + ... + 15296601.

It is an arithmetic number, because the mean of its divisors is an integer number (53771031216).

Almost surely, 2^{1688117693340} is an apocalyptic number.

1688117693340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1688117693340 is an abundant number, since it is smaller than the sum of its proper divisors (3473901303396).

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

1688117693340 is a wasteful number, since it uses less digits than its factorization.

1688117693340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30482539 (or 30482537 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 1688117693340 in words is "one trillion, six hundred eighty-eight billion, one hundred seventeen million, six hundred ninety-three thousand, three hundred forty".