1755005664 has 24 divisors (see below), whose sum is σ = 4606890120. Its totient is φ = 585001856.

The previous prime is 1755005663. The next prime is 1755005669. The reversal of 1755005664 is 4665005571.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1755005663) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 9140559 + ... + 9140750.

It is an arithmetic number, because the mean of its divisors is an integer number (191953755).

Almost surely, 2^1755005664 is an apocalyptic number.

It is an amenable number.

1755005664 is an abundant number, since it is smaller than the sum of its proper divisors (2851884456).

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

1755005664 is a wasteful number, since it uses less digits than its factorization.

1755005664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18281322 (or 18281314 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The square root of 1755005664 is about 41892.7877324964. The cubic root of 1755005664 is about 1206.2190252044.

The spelling of 1755005664 in words is "one billion, seven hundred fifty-five million, five thousand, six hundred sixty-four".