1687673975344 has 40 divisors (see below), whose sum is σ = 3737064741120. Its totient is φ = 723274840128.

The previous prime is 1687673975333. The next prime is 1687673975353. The reversal of 1687673975344 is 4435793767861.

It is a happy 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 7 ways as a sum of consecutive naturals, for example, 7396437 + ... + 7621195.

It is an arithmetic number, because the mean of its divisors is an integer number (93426618528).

Almost surely, 2^{1687673975344} is an apocalyptic number.

1687673975344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1687673975344 is an abundant number, since it is smaller than the sum of its proper divisors (2049390765776).

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

1687673975344 is a wasteful number, since it uses less digits than its factorization.

1687673975344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291817 (or 291811 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 70.

The spelling of 1687673975344 in words is "one trillion, six hundred eighty-seven billion, six hundred seventy-three million, nine hundred seventy-five thousand, three hundred forty-four".