673413543936000 has 5760 divisors, whose sum is σ = 3105871815481344. Its totient is φ = 142078692556800.

The previous prime is 673413543935999. The next prime is 673413543936011. The reversal of 673413543936000 is 639345314376.

673413543936000 is a `hidden beast` number, since 6 + 7 + 3 + 4 + 1 + 3 + 543 + 93 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 383 ways as a sum of consecutive naturals, for example, 4915427327932 + ... + 4915427328068.

Almost surely, 2^{673413543936000} is an apocalyptic number.

673413543936000 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 673413543936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552935907740672).

673413543936000 is an abundant number, since it is smaller than the sum of its proper divisors (2432458271545344).

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

673413543936000 is an equidigital number, since it uses as much as digits as its factorization.

673413543936000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 673413543936000 in words is "six hundred seventy-three trillion, four hundred thirteen billion, five hundred forty-three million, nine hundred thirty-six thousand".