1667672445168 has 480 divisors, whose sum is σ = 5148844167168. Its totient is φ = 502267392000.

The previous prime is 1667672445151. The next prime is 1667672445211. The reversal of 1667672445168 is 8615442767661.

1667672445168 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 6 + 72 + 44 + 516 + 8 = 666.

It is a super-2 number, since 2×1667672445168² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 756999555 + ... + 757001757.

Almost surely, 2^{1667672445168} is an apocalyptic number.

1667672445168 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 1667672445168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2574422083584).

1667672445168 is an abundant number, since it is smaller than the sum of its proper divisors (3481171722000).

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

1667672445168 is a wasteful number, since it uses less digits than its factorization.

1667672445168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2436 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 1667672445168 in words is "one trillion, six hundred sixty-seven billion, six hundred seventy-two million, four hundred forty-five thousand, one hundred sixty-eight".