673557664 has 48 divisors (see below), whose sum is σ = 1431327240. Its totient is φ = 310164480.

The previous prime is 673557659. The next prime is 673557667. The reversal of 673557664 is 466755376.

It can be written as a sum of positive squares in 4 ways, for example, as 411765264 + 261792400 = 20292^2 + 16180^2 .

It is not an unprimeable number, because it can be changed into a prime (673557667) 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 7 ways as a sum of consecutive naturals, for example, 210154 + ... + 213334.

Almost surely, 2^673557664 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 673557664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715663620).

673557664 is an abundant number, since it is smaller than the sum of its proper divisors (757769576).

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

673557664 is a wasteful number, since it uses less digits than its factorization.

673557664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3713 (or 3705 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 49.

The square root of 673557664 is about 25952.9895002483. The cubic root of 673557664 is about 876.5800735326.

The spelling of 673557664 in words is "six hundred seventy-three million, five hundred fifty-seven thousand, six hundred sixty-four".