1729004064 has 48 divisors (see below), whose sum is σ = 4550706720. Its totient is φ = 574801920.

The previous prime is 1729004063. The next prime is 1729004083. The reversal of 1729004064 is 4604009271.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1729004063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12624 + ... + 60144.

It is an arithmetic number, because the mean of its divisors is an integer number (94806390).

Almost surely, 2^1729004064 is an apocalyptic number.

It is an amenable number.

1729004064 is an abundant number, since it is smaller than the sum of its proper divisors (2821702656).

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

1729004064 is a wasteful number, since it uses less digits than its factorization.

1729004064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47913 (or 47905 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 1729004064 is about 41581.2946407396. The cubic root of 1729004064 is about 1200.2323772200.

The spelling of 1729004064 in words is "one billion, seven hundred twenty-nine million, four thousand, sixty-four".