1676066680656 has 160 divisors (see below), whose sum is σ = 5066747136000. Its totient is φ = 529011637632.

The previous prime is 1676066680597. The next prime is 1676066680661. The reversal of 1676066680656 is 6560866606761.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1676066680593 and 1676066680602.

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 31 ways as a sum of consecutive naturals, for example, 16192041 + ... + 16295223.

It is an arithmetic number, because the mean of its divisors is an integer number (31667169600).

Almost surely, 2^{1676066680656} is an apocalyptic number.

1676066680656 is a gapful number since it is divisible by the number (16) 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 1676066680656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533373568000).

1676066680656 is an abundant number, since it is smaller than the sum of its proper divisors (3390680455344).

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

1676066680656 is a wasteful number, since it uses less digits than its factorization.

1676066680656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105198 (or 105186 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 1676066680656 in words is "one trillion, six hundred seventy-six billion, sixty-six million, six hundred eighty thousand, six hundred fifty-six".