1729980064 has 48 divisors (see below), whose sum is σ = 3475180800. Its totient is φ = 847494144.

The previous prime is 1729980053. The next prime is 1729980067. The reversal of 1729980064 is 4600899271.

It is a junction number, because it is equal to n+sod(n) for n = 1729979996 and 1729980023.

It is not an unprimeable number, because it can be changed into a prime (1729980067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 634897 + ... + 637615.

It is an arithmetic number, because the mean of its divisors is an integer number (72399600).

Almost surely, 2^1729980064 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 1729980064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737590400).

1729980064 is an abundant number, since it is smaller than the sum of its proper divisors (1745200736).

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

1729980064 is a wasteful number, since it uses less digits than its factorization.

1729980064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 1729980064 is about 41593.0290313173. The cubic root of 1729980064 is about 1200.4581731903.

The spelling of 1729980064 in words is "one billion, seven hundred twenty-nine million, nine hundred eighty thousand, sixty-four".