673727325298560 has 1152 divisors, whose sum is σ = 2609270748564480. Its totient is φ = 159225008947200.

The previous prime is 673727325298537. The next prime is 673727325298561. The reversal of 673727325298560 is 65892523727376.

673727325298560 is a `hidden beast` number, since 6 + 7 + 3 + 7 + 2 + 7 + 3 + 2 + 52 + 9 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (673727325298561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9138842500 + ... + 9138916220.

It is an arithmetic number, because the mean of its divisors is an integer number (2264991969240).

Almost surely, 2^{673727325298560} is an apocalyptic number.

673727325298560 is a gapful number since it is divisible by the number (60) 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 673727325298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304635374282240).

673727325298560 is an abundant number, since it is smaller than the sum of its proper divisors (1935543423265920).

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

673727325298560 is a wasteful number, since it uses less digits than its factorization.

673727325298560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73948 (or 73902 counting only the distinct ones).

The product of its (nonzero) digits is 1600300800, while the sum is 72.

The spelling of 673727325298560 in words is "six hundred seventy-three trillion, seven hundred twenty-seven billion, three hundred twenty-five million, two hundred ninety-eight thousand, five hundred sixty".