1730227613328 has 180 divisors, whose sum is σ = 5080797425340. Its totient is φ = 549609460224.

The previous prime is 1730227613327. The next prime is 1730227613407. The reversal of 1730227613328 is 8233167220371.

It is a happy number.

1730227613328 is a `hidden beast` number, since 1 + 7 + 3 + 0 + 2 + 2 + 7 + 613 + 3 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 646396704144 + 1083830909184 = 803988^2 + 1041072^2 .

It is not an unprimeable number, because it can be changed into a prime (1730227613327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20449126 + ... + 20533562.

It is an arithmetic number, because the mean of its divisors is an integer number (28226652363).

Almost surely, 2^{1730227613328} is an apocalyptic number.

1730227613328 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 1730227613328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2540398712670).

1730227613328 is an abundant number, since it is smaller than the sum of its proper divisors (3350569812012).

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

1730227613328 is a wasteful number, since it uses less digits than its factorization.

1730227613328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84766 (or 84734 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 1730227613328 in words is "one trillion, seven hundred thirty billion, two hundred twenty-seven million, six hundred thirteen thousand, three hundred twenty-eight".