673431134376 has 512 divisors, whose sum is σ = 2323360972800. Its totient is φ = 157014236160.

The previous prime is 673431134371. The next prime is 673431134437.

673431134376 is nontrivially palindromic in base 10.

673431134376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (673431134371) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184046035 + ... + 184049693.

It is an arithmetic number, because the mean of its divisors is an integer number (4537814400).

Almost surely, 2^673431134376 is an apocalyptic number.

673431134376 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 673431134376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161680486400).

673431134376 is an abundant number, since it is smaller than the sum of its proper divisors (1649929838424).

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

673431134376 is a wasteful number, since it uses less digits than its factorization.

673431134376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3905 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 48.

The spelling of 673431134376 in words is "six hundred seventy-three billion, four hundred thirty-one million, one hundred thirty-four thousand, three hundred seventy-six".