1729473008256 has 768 divisors, whose sum is σ = 6236353244160. Its totient is φ = 448815955968.

The previous prime is 1729473008251. The next prime is 1729473008257. The reversal of 1729473008256 is 6528003749271.

It is a happy number.

1729473008256 is a `hidden beast` number, since 172 + 9 + 47 + 300 + 82 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (1729473008251) 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 95 ways as a sum of consecutive naturals, for example, 470347090 + ... + 470350766.

It is an arithmetic number, because the mean of its divisors is an integer number (8120251620).

It is a 1-persistent number, because it is pandigital, but 2⋅1729473008256 = 3458946016512 is not.

Almost surely, 2^{1729473008256} is an apocalyptic number.

1729473008256 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 1729473008256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118176622080).

1729473008256 is an abundant number, since it is smaller than the sum of its proper divisors (4506880235904).

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

1729473008256 is a wasteful number, since it uses less digits than its factorization.

1729473008256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1729473008256 in words is "one trillion, seven hundred twenty-nine billion, four hundred seventy-three million, eight thousand, two hundred fifty-six".