1676869820064 has 288 divisors, whose sum is σ = 5093991564480. Its totient is φ = 542292019200.

The previous prime is 1676869820053. The next prime is 1676869820107. The reversal of 1676869820064 is 4600289686761.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 1676869819983 and 1676869820010.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57691167 + ... + 57720225.

It is an arithmetic number, because the mean of its divisors is an integer number (17687470710).

Almost surely, 2^{1676869820064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1676869820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2546995782240).

1676869820064 is an abundant number, since it is smaller than the sum of its proper divisors (3417121744416).

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

1676869820064 is a wasteful number, since it uses less digits than its factorization.

1676869820064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29306 (or 29286 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 1676869820064 in words is "one trillion, six hundred seventy-six billion, eight hundred sixty-nine million, eight hundred twenty thousand, sixty-four".