1676088133668 has 384 divisors, whose sum is σ = 5002421760000. Its totient is φ = 481371061248.

The previous prime is 1676088133661. The next prime is 1676088133673. The reversal of 1676088133668 is 8663318806761.

1676088133668 is a `hidden beast` number, since 1 + 6 + 7 + 608 + 8 + 13 + 3 + 6 + 6 + 8 = 666.

It is a super-3 number, since 3×1676088133668³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1676088133661) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 264823528 + ... + 264829856.

It is an arithmetic number, because the mean of its divisors is an integer number (13027140000).

Almost surely, 2^{1676088133668} is an apocalyptic number.

1676088133668 is a gapful number since it is divisible by the number (18) 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 1676088133668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501210880000).

1676088133668 is an abundant number, since it is smaller than the sum of its proper divisors (3326333626332).

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

1676088133668 is a wasteful number, since it uses less digits than its factorization.

1676088133668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6576 (or 6568 counting only the distinct ones).

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

The spelling of 1676088133668 in words is "one trillion, six hundred seventy-six billion, eighty-eight million, one hundred thirty-three thousand, six hundred sixty-eight".