673132136716800 has 1680 divisors, whose sum is σ = 2563702017212160. Its totient is φ = 174978901278720.

The previous prime is 673132136716789. The next prime is 673132136716801. The reversal of 673132136716800 is 8617631231376.

673132136716800 is a `hidden beast` number, since 6 + 73 + 132 + 1 + 367 + 1 + 6 + 80 + 0 = 666.

It is a super-4 number, since 4×673132136716800⁴ (a number of 60 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (673132136716801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 247566065841 + ... + 247566068559.

Almost surely, 2^{673132136716800} is an apocalyptic number.

673132136716800 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 673132136716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281851008606080).

673132136716800 is an abundant number, since it is smaller than the sum of its proper divisors (1890569880495360).

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

673132136716800 is an equidigital number, since it uses as much as digits as its factorization.

673132136716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 673132136716800 in words is "six hundred seventy-three trillion, one hundred thirty-two billion, one hundred thirty-six million, seven hundred sixteen thousand, eight hundred".