673515648 has 320 divisors, whose sum is σ = 2280801600. Its totient is φ = 195581952.

The previous prime is 673515631. The next prime is 673515653. The reversal of 673515648 is 846515376.

673515648 is a `hidden beast` number, since 6 + 73 + 515 + 64 + 8 = 666.

It is a super-3 number, since 3×673515648³ (a number of 27 digits) contains 333 as substring.

Its product of digits (604800) is a multiple of the sum of its prime divisors (300).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2560765 + ... + 2561027.

It is an arithmetic number, because the mean of its divisors is an integer number (7127505).

Almost surely, 2^673515648 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 673515648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140400800).

673515648 is an abundant number, since it is smaller than the sum of its proper divisors (1607285952).

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

673515648 is a wasteful number, since it uses less digits than its factorization.

673515648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 300 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 673515648 is about 25952.1800240365. The cubic root of 673515648 is about 876.5618463606.

The spelling of 673515648 in words is "six hundred seventy-three million, five hundred fifteen thousand, six hundred forty-eight".