1673433216 has 512 divisors, whose sum is σ = 6456844800. Its totient is φ = 414056448.

The previous prime is 1673433211. The next prime is 1673433247. The reversal of 1673433216 is 6123343761.

1673433216 is a `hidden beast` number, since 1 + 6 + 7 + 3 + 433 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1673433211) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5346276 + ... + 5346588.

It is an arithmetic number, because the mean of its divisors is an integer number (12611025).

Almost surely, 2^1673433216 is an apocalyptic number.

1673433216 is a gapful number since it is divisible by the number (16) 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 1673433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3228422400).

1673433216 is an abundant number, since it is smaller than the sum of its proper divisors (4783411584).

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

1673433216 is a wasteful number, since it uses less digits than its factorization.

1673433216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 355 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 1673433216 is about 40907.6180680323. The cubic root of 1673433216 is about 1187.2334612278.

Adding to 1673433216 its reverse (6123343761), we get a palindrome (7796776977).

The spelling of 1673433216 in words is "one billion, six hundred seventy-three million, four hundred thirty-three thousand, two hundred sixteen".