1782688644 has 108 divisors (see below), whose sum is σ = 5035090060. Its totient is φ = 531273600.

The previous prime is 1782688639. The next prime is 1782688679. The reversal of 1782688644 is 4468862871.

It can be written as a sum of positive squares in 2 ways, for example, as 512479044 + 1270209600 = 22638^2 + 35640^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 262362 + ... + 269070.

Almost surely, 2^1782688644 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 1782688644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517545030).

1782688644 is an abundant number, since it is smaller than the sum of its proper divisors (3252401416).

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

1782688644 is a wasteful number, since it uses less digits than its factorization.

1782688644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802 (or 6786 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 1782688644 is about 42221.8976835480. The cubic root of 1782688644 is about 1212.5281575492.

The spelling of 1782688644 in words is "one billion, seven hundred eighty-two million, six hundred eighty-eight thousand, six hundred forty-four".