673327764 has 72 divisors (see below), whose sum is σ = 1736483112. Its totient is φ = 219939840.

The previous prime is 673327763. The next prime is 673327777. The reversal of 673327764 is 467723376.

It can be written as a sum of positive squares in 4 ways, for example, as 234090000 + 439237764 = 15300^2 + 20958^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673327763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453904 + ... + 455384.

It is an arithmetic number, because the mean of its divisors is an integer number (24117821).

Almost surely, 2^673327764 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 673327764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868241556).

673327764 is an abundant number, since it is smaller than the sum of its proper divisors (1063155348).

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

673327764 is a wasteful number, since it uses less digits than its factorization.

673327764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1732 counting only the distinct ones).

The product of its digits is 889056, while the sum is 45.

The square root of 673327764 is about 25948.5599600440. The cubic root of 673327764 is about 876.4803301835.

The spelling of 673327764 in words is "six hundred seventy-three million, three hundred twenty-seven thousand, seven hundred sixty-four".