1720164480 has 128 divisors (see below), whose sum is σ = 5721563520. Its totient is φ = 438755328.

The previous prime is 1720164469. The next prime is 1720164497. The reversal of 1720164480 is 844610271.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 24684 + ... + 63636.

It is an arithmetic number, because the mean of its divisors is an integer number (44699715).

Almost surely, 2^1720164480 is an apocalyptic number.

1720164480 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 1720164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860781760).

1720164480 is an abundant number, since it is smaller than the sum of its proper divisors (4001399040).

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

1720164480 is a wasteful number, since it uses less digits than its factorization.

1720164480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38998 (or 38986 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1720164480 is about 41474.8656417354. The cubic root of 1720164480 is about 1198.1834738036.

The spelling of 1720164480 in words is "one billion, seven hundred twenty million, one hundred sixty-four thousand, four hundred eighty".