673306208820000 has 1440 divisors, whose sum is σ = 2758266647136000. Its totient is φ = 152560300032000.

The previous prime is 673306208819989. The next prime is 673306208820001. The reversal of 673306208820000 is 28802603376.

673306208820000 is a `hidden beast` number, since 67 + 3 + 306 + 2 + 0 + 88 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×673306208820000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (673306208820001) 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 239 ways as a sum of consecutive naturals, for example, 144828177676 + ... + 144828182324.

It is an arithmetic number, because the mean of its divisors is an integer number (1915462949400).

Almost surely, 2^{673306208820000} is an apocalyptic number.

673306208820000 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 673306208820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379133323568000).

673306208820000 is an abundant number, since it is smaller than the sum of its proper divisors (2084960438316000).

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

673306208820000 is a wasteful number, since it uses less digits than its factorization.

673306208820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5668 (or 5642 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 673306208820000 in words is "six hundred seventy-three trillion, three hundred six billion, two hundred eight million, eight hundred twenty thousand".