1676985660000 has 960 divisors, whose sum is σ = 7289286681600. Its totient is φ = 366626304000.

The previous prime is 1676985659963. The next prime is 1676985660013. The reversal of 1676985660000 is 665896761.

1676985660000 is a `hidden beast` number, since 1 + 6 + 76 + 9 + 8 + 566 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 86930356 + ... + 86949644.

It is an arithmetic number, because the mean of its divisors is an integer number (7593006960).

Almost surely, 2^{1676985660000} is an apocalyptic number.

1676985660000 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 1676985660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644643340800).

1676985660000 is an abundant number, since it is smaller than the sum of its proper divisors (5612301021600).

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

1676985660000 is a wasteful number, since it uses less digits than its factorization.

1676985660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19358 (or 19329 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1676985660000 in words is "one trillion, six hundred seventy-six billion, nine hundred eighty-five million, six hundred sixty thousand".