66548427294720 has 576 divisors, whose sum is σ = 255651942873600. Its totient is φ = 14720379125760.

The previous prime is 66548427294719. The next prime is 66548427294721. The reversal of 66548427294720 is 2749272484566.

It is an interprime number because it is at equal distance from previous prime (66548427294719) and next prime (66548427294721).

It is not an unprimeable number, because it can be changed into a prime (66548427294721) 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, 45950616 + ... + 47376744.

It is an arithmetic number, because the mean of its divisors is an integer number (443840178600).

Almost surely, 2^{66548427294720} is an apocalyptic number.

66548427294720 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 66548427294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127825971436800).

66548427294720 is an abundant number, since it is smaller than the sum of its proper divisors (189103515578880).

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

66548427294720 is a wasteful number, since it uses less digits than its factorization.

66548427294720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426204 (or 1426177 counting only the distinct ones).

The product of its (nonzero) digits is 325140480, while the sum is 66.

The spelling of 66548427294720 in words is "sixty-six trillion, five hundred forty-eight billion, four hundred twenty-seven million, two hundred ninety-four thousand, seven hundred twenty".