673549741813248 has 320 divisors, whose sum is σ = 1995466290554880. Its totient is φ = 224323866353664.

The previous prime is 673549741813243. The next prime is 673549741813279. The reversal of 673549741813248 is 842318147945376.

It is a happy number.

673549741813248 is a `hidden beast` number, since 6 + 7 + 3 + 54 + 9 + 74 + 181 + 324 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673549741813243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 127012960165 + ... + 127012965467.

It is an arithmetic number, because the mean of its divisors is an integer number (6235832157984).

Almost surely, 2^{673549741813248} 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 673549741813248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (997733145277440).

673549741813248 is an abundant number, since it is smaller than the sum of its proper divisors (1321916548741632).

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

673549741813248 is a wasteful number, since it uses less digits than its factorization.

673549741813248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11486 (or 11464 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 673549741813248 in words is "six hundred seventy-three trillion, five hundred forty-nine billion, seven hundred forty-one million, eight hundred thirteen thousand, two hundred forty-eight".