1721960000 has 70 divisors (see below), whose sum is σ = 4270000350. Its totient is φ = 688768000.

The previous prime is 1721959951. The next prime is 1721960083. The reversal of 1721960000 is 691271.

It can be written as a sum of positive squares in 5 ways, for example, as 310605376 + 1411354624 = 17624^2 + 37568^2 .

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 18476 + ... + 61524.

It is an arithmetic number, because the mean of its divisors is an integer number (61000005).

Almost surely, 2^1721960000 is an apocalyptic number.

1721960000 is a gapful number since it is divisible by the number (10) 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 1721960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135000175).

1721960000 is an abundant number, since it is smaller than the sum of its proper divisors (2548040350).

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

1721960000 is an frugal number, since it uses more digits than its factorization.

1721960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43081 (or 43056 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 26.

The square root of 1721960000 is about 41496.5058770013. The cubic root of 1721960000 is about 1198.6002196659.

The spelling of 1721960000 in words is "one billion, seven hundred twenty-one million, nine hundred sixty thousand".