1729704768 has 224 divisors, whose sum is σ = 5337169920. Its totient is φ = 489216000.

The previous prime is 1729704751. The next prime is 1729704787. The reversal of 1729704768 is 8674079271.

It is a self number, because there is not a number n which added to its sum of digits gives 1729704768.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1898233 + ... + 1899143.

Almost surely, 2^1729704768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1729704768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668584960).

1729704768 is an abundant number, since it is smaller than the sum of its proper divisors (3607465152).

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

1729704768 is a wasteful number, since it uses less digits than its factorization.

1729704768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The square root of 1729704768 is about 41589.7194989339. The cubic root of 1729704768 is about 1200.3944925211.

The spelling of 1729704768 in words is "one billion, seven hundred twenty-nine million, seven hundred four thousand, seven hundred sixty-eight".