673826138337 has 16 divisors (see below), whose sum is σ = 980192348352. Its totient is φ = 408345477120.

The previous prime is 673826138327. The next prime is 673826138351. The reversal of 673826138337 is 733831628376.

673826138337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 673826138337 - 2¹⁵ = 673826105569 is a prime.

It is a super-2 number, since 2×673826138337² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (673826138327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444768 + ... + 1243169.

It is an arithmetic number, because the mean of its divisors is an integer number (61262021772).

Almost surely, 2^673826138337 is an apocalyptic number.

It is an amenable number.

673826138337 is a deficient number, since it is larger than the sum of its proper divisors (306366210015).

673826138337 is a wasteful number, since it uses less digits than its factorization.

673826138337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700048.

The product of its digits is 18289152, while the sum is 57.

The spelling of 673826138337 in words is "six hundred seventy-three billion, eight hundred twenty-six million, one hundred thirty-eight thousand, three hundred thirty-seven".