66082801843968 has 288 divisors, whose sum is σ = 217392618433536. Its totient is φ = 17353626845184.

The previous prime is 66082801843963. The next prime is 66082801843991. The reversal of 66082801843968 is 86934810828066.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66082801843963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14254821 + ... + 18312987.

It is an arithmetic number, because the mean of its divisors is an integer number (754835480672).

Almost surely, 2^{66082801843968} 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 66082801843968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108696309216768).

66082801843968 is an abundant number, since it is smaller than the sum of its proper divisors (151309816589568).

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

66082801843968 is a wasteful number, since it uses less digits than its factorization.

66082801843968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4058439 (or 4058425 counting only the distinct ones).

The product of its (nonzero) digits is 191102976, while the sum is 69.

The spelling of 66082801843968 in words is "sixty-six trillion, eighty-two billion, eight hundred one million, eight hundred forty-three thousand, nine hundred sixty-eight".