673665696 has 144 divisors (see below), whose sum is σ = 2099418048. Its totient is φ = 203212800.

The previous prime is 673665689. The next prime is 673665719. The reversal of 673665696 is 696566376.

673665696 is a `hidden beast` number, since 6 + 73 + 6 + 6 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1067301 + ... + 1067931.

It is an arithmetic number, because the mean of its divisors is an integer number (14579292).

Almost surely, 2^673665696 is an apocalyptic number.

673665696 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673665696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049709024).

673665696 is an abundant number, since it is smaller than the sum of its proper divisors (1425752352).

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

673665696 is a wasteful number, since it uses less digits than its factorization.

673665696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 984 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The square root of 673665696 is about 25955.0707184550. The cubic root of 673665696 is about 876.6269359573.

The spelling of 673665696 in words is "six hundred seventy-three million, six hundred sixty-five thousand, six hundred ninety-six".