673754457376 has 240 divisors, whose sum is σ = 1795917251520. Its totient is φ = 242293962240.

The previous prime is 673754457349. The next prime is 673754457391.

It is a happy number.

673754457376 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42626691 + ... + 42642493.

It is an arithmetic number, because the mean of its divisors is an integer number (7482988548).

Almost surely, 2^673754457376 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 673754457376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897958625760).

673754457376 is an abundant number, since it is smaller than the sum of its proper divisors (1122162794144).

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

673754457376 is a wasteful number, since it uses less digits than its factorization.

673754457376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15877 (or 15836 counting only the distinct ones).

The product of its digits is 311169600, while the sum is 64.

The spelling of 673754457376 in words is "six hundred seventy-three billion, seven hundred fifty-four million, four hundred fifty-seven thousand, three hundred seventy-six".