1679871836160 has 1728 divisors, whose sum is σ = 7302087636480. Its totient is φ = 348798320640.

The previous prime is 1679871836029. The next prime is 1679871836207. The reversal of 1679871836160 is 616381789761.

1679871836160 is a `hidden beast` number, since 1 + 6 + 7 + 9 + 8 + 7 + 1 + 8 + 3 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27538882530 + ... + 27538882590.

It is an arithmetic number, because the mean of its divisors is an integer number (4225745160).

Almost surely, 2^{1679871836160} is an apocalyptic number.

1679871836160 is a gapful number since it is divisible by the number (10) 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 1679871836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651043818240).

1679871836160 is an abundant number, since it is smaller than the sum of its proper divisors (5622215800320).

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

1679871836160 is an equidigital number, since it uses as much as digits as its factorization.

1679871836160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 1679871836160 in words is "one trillion, six hundred seventy-nine billion, eight hundred seventy-one million, eight hundred thirty-six thousand, one hundred sixty".