5667180217920 has 672 divisors, whose sum is σ = 21415451252832. Its totient is φ = 1366938353664.

The previous prime is 5667180217903. The next prime is 5667180217921. The reversal of 5667180217920 is 297120817665.

5667180217920 is a `hidden beast` number, since 566 + 7 + 1 + 8 + 0 + 2 + 1 + 79 + 2 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 813935969856 + 4853244248064 = 902184^2 + 2203008^2 .

It is not an unprimeable number, because it can be changed into a prime (5667180217921) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2287919722 + ... + 2287922198.

It is an arithmetic number, because the mean of its divisors is an integer number (31868231031).

Almost surely, 2^{5667180217920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5667180217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10707725626416).

5667180217920 is an abundant number, since it is smaller than the sum of its proper divisors (15748271034912).

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

5667180217920 is a wasteful number, since it uses less digits than its factorization.

5667180217920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3719 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 5667180217920 in words is "five trillion, six hundred sixty-seven billion, one hundred eighty million, two hundred seventeen thousand, nine hundred twenty".