673824428376 has 128 divisors (see below), whose sum is σ = 1863630720000. Its totient is φ = 201315778560.

The previous prime is 673824428341. The next prime is 673824428429.

It is a happy number.

673824428376 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14764120 + ... + 14809688.

It is an arithmetic number, because the mean of its divisors is an integer number (14559615000).

Almost surely, 2^673824428376 is an apocalyptic number.

673824428376 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 673824428376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931815360000).

673824428376 is an abundant number, since it is smaller than the sum of its proper divisors (1189806291624).

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

673824428376 is a wasteful number, since it uses less digits than its factorization.

673824428376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46377 (or 46373 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 60.

The spelling of 673824428376 in words is "six hundred seventy-three billion, eight hundred twenty-four million, four hundred twenty-eight thousand, three hundred seventy-six".