673440768 has 528 divisors, whose sum is σ = 2646623616. Its totient is φ = 159252480.

The previous prime is 673440749. The next prime is 673440797. The reversal of 673440768 is 867044376.

It is a tau number, because it is divible by the number of its divisors (528).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9225180 + ... + 9225252.

Almost surely, 2^673440768 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 673440768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323311808).

673440768 is an abundant number, since it is smaller than the sum of its proper divisors (1973182848).

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

673440768 is a wasteful number, since it uses less digits than its factorization.

673440768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 673440768 is about 25950.7373305654. The cubic root of 673440768 is about 876.5293604122.

The spelling of 673440768 in words is "six hundred seventy-three million, four hundred forty thousand, seven hundred sixty-eight".