1673543968272 has 320 divisors, whose sum is σ = 5518896768000. Its totient is φ = 480208435200.

The previous prime is 1673543968241. The next prime is 1673543968273. The reversal of 1673543968272 is 2728693453761.

It is a happy number.

1673543968272 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 543 + 9 + 6 + 82 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (1673543968273) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281785879 + ... + 281791817.

It is an arithmetic number, because the mean of its divisors is an integer number (17246552400).

Almost surely, 2^{1673543968272} is an apocalyptic number.

1673543968272 is a gapful number since it is divisible by the number (12) 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 1673543968272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2759448384000).

1673543968272 is an abundant number, since it is smaller than the sum of its proper divisors (3845352799728).

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

1673543968272 is a wasteful number, since it uses less digits than its factorization.

1673543968272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9107 (or 9095 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 1673543968272 in words is "one trillion, six hundred seventy-three billion, five hundred forty-three million, nine hundred sixty-eight thousand, two hundred seventy-two".