66944359906368 has 448 divisors, whose sum is σ = 216627889840128. Its totient is φ = 17809673748480.

The previous prime is 66944359906339. The next prime is 66944359906447. The reversal of 66944359906368 is 86360995344966.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 66944359906293 and 66944359906302.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1860426105 + ... + 1860462087.

Almost surely, 2^{66944359906368} is an apocalyptic number.

66944359906368 is a gapful number since it is divisible by the number (68) 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 66944359906368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108313944920064).

66944359906368 is an abundant number, since it is smaller than the sum of its proper divisors (149683529933760).

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

66944359906368 is a wasteful number, since it uses less digits than its factorization.

66944359906368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36890 (or 36880 counting only the distinct ones).

The product of its (nonzero) digits is 5441955840, while the sum is 78.

The spelling of 66944359906368 in words is "sixty-six trillion, nine hundred forty-four billion, three hundred fifty-nine million, nine hundred six thousand, three hundred sixty-eight".