673949376 has 224 divisors, whose sum is σ = 2075566080. Its totient is φ = 214244352.

The previous prime is 673949371. The next prime is 673949429.

673949376 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×673949376² = 908415522821578752, which contains 22 as substring.

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

Its product of digits (5143824) is a multiple of the sum of its prime divisors (252).

It is not an unprimeable number, because it can be changed into a prime (673949371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5306625 + ... + 5306751.

It is an arithmetic number, because the mean of its divisors is an integer number (9265920).

Almost surely, 2^673949376 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 673949376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037783040).

673949376 is an abundant number, since it is smaller than the sum of its proper divisors (1401616704).

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

673949376 is a wasteful number, since it uses less digits than its factorization.

673949376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 252 counting only the distinct ones).

The product of its digits is 5143824, while the sum is 54.

The square root of 673949376 is about 25960.5349713753. The cubic root of 673949376 is about 876.7499676194.

The spelling of 673949376 in words is "six hundred seventy-three million, nine hundred forty-nine thousand, three hundred seventy-six".