672842830176 has 288 divisors, whose sum is σ = 2146086817056. Its totient is φ = 198190080000.

The previous prime is 672842830171. The next prime is 672842830189. The reversal of 672842830176 is 671038248276.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672842830171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35969626 + ... + 35988326.

It is an arithmetic number, because the mean of its divisors is an integer number (7451690337).

Almost surely, 2^672842830176 is an apocalyptic number.

672842830176 is a gapful number since it is divisible by the number (66) 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 672842830176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073043408528).

672842830176 is an abundant number, since it is smaller than the sum of its proper divisors (1473243986880).

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

672842830176 is a wasteful number, since it uses less digits than its factorization.

672842830176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19046 (or 19035 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 672842830176 in words is "six hundred seventy-two billion, eight hundred forty-two million, eight hundred thirty thousand, one hundred seventy-six".