673671680 has 160 divisors (see below), whose sum is σ = 1803098880. Its totient is φ = 239288320.

The previous prime is 673671659. The next prime is 673671689. The reversal of 673671680 is 86176376.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (673671689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1323266 + ... + 1323774.

It is an arithmetic number, because the mean of its divisors is an integer number (11269368).

Almost surely, 2^673671680 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 673671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901549440).

673671680 is an abundant number, since it is smaller than the sum of its proper divisors (1129427200).

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

673671680 is a wasteful number, since it uses less digits than its factorization.

673671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 673671680 is about 25955.1859943249. The cubic root of 673671680 is about 876.6295315672.

The spelling of 673671680 in words is "six hundred seventy-three million, six hundred seventy-one thousand, six hundred eighty".