673768368 has 400 divisors, whose sum is σ = 2495465280. Its totient is φ = 170698752.

The previous prime is 673768357. The next prime is 673768411. The reversal of 673768368 is 863867376.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3420046 + ... + 3420242.

Almost surely, 2^673768368 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 673768368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247732640).

673768368 is an abundant number, since it is smaller than the sum of its proper divisors (1821696912).

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

673768368 is a wasteful number, since it uses less digits than its factorization.

673768368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 673768368 is about 25957.0485225112. The cubic root of 673768368 is about 876.6714686631.

The spelling of 673768368 in words is "six hundred seventy-three million, seven hundred sixty-eight thousand, three hundred sixty-eight".