66673432131840 has 432 divisors, whose sum is σ = 231323995768320. Its totient is φ = 17730242150400.

The previous prime is 66673432131821. The next prime is 66673432131853. The reversal of 66673432131840 is 4813123437666.

66673432131840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10335360615 + ... + 10335367065.

Almost surely, 2^{66673432131840} is an apocalyptic number.

66673432131840 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 66673432131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115661997884160).

66673432131840 is an abundant number, since it is smaller than the sum of its proper divisors (164650563636480).

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

66673432131840 is a wasteful number, since it uses less digits than its factorization.

66673432131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8830 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 66673432131840 in words is "sixty-six trillion, six hundred seventy-three billion, four hundred thirty-two million, one hundred thirty-one thousand, eight hundred forty".