1789464768 has 448 divisors, whose sum is σ = 6264932352. Its totient is φ = 437944320.

The previous prime is 1789464763. The next prime is 1789464769. The reversal of 1789464768 is 8674649871.

It is a tau number, because it is divible by the number of its divisors (448).

Its product of digits (16257024) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (1789464763) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 24513180 + ... + 24513252.

It is an arithmetic number, because the mean of its divisors is an integer number (13984224).

Almost surely, 2^1789464768 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 1789464768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132466176).

1789464768 is an abundant number, since it is smaller than the sum of its proper divisors (4475467584).

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

1789464768 is a wasteful number, since it uses less digits than its factorization.

1789464768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The square root of 1789464768 is about 42302.0657651609. The cubic root of 1789464768 is about 1214.0625165142.

The spelling of 1789464768 in words is "one billion, seven hundred eighty-nine million, four hundred sixty-four thousand, seven hundred sixty-eight".