1728697420800 has 1584 divisors, whose sum is σ = 7562815413120. Its totient is φ = 385616609280.

The previous prime is 1728697420759. The next prime is 1728697420823. The reversal of 1728697420800 is 80247968271.

It is a happy number.

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1456357807 + ... + 1456358993.

It is an arithmetic number, because the mean of its divisors is an integer number (4774504680).

Almost surely, 2^{1728697420800} is an apocalyptic number.

1728697420800 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 1728697420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3781407706560).

1728697420800 is an abundant number, since it is smaller than the sum of its proper divisors (5834117992320).

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

1728697420800 is a wasteful number, since it uses less digits than its factorization.

1728697420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1728697420800 in words is "one trillion, seven hundred twenty-eight billion, six hundred ninety-seven million, four hundred twenty thousand, eight hundred".