66420071373344 has 384 divisors, whose sum is σ = 155901303936000. Its totient is φ = 27577205526528.

The previous prime is 66420071373329. The next prime is 66420071373347. The reversal of 66420071373344 is 44337317002466.

It is a super-2 number, since 2×66420071373344² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66420071373292 and 66420071373301.

It is not an unprimeable number, because it can be changed into a prime (66420071373347) 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 63 ways as a sum of consecutive naturals, for example, 3409119827 + ... + 3409139309.

It is an arithmetic number, because the mean of its divisors is an integer number (405992979000).

Almost surely, 2^{66420071373344} 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 66420071373344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77950651968000).

66420071373344 is an abundant number, since it is smaller than the sum of its proper divisors (89481232562656).

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

66420071373344 is a wasteful number, since it uses less digits than its factorization.

66420071373344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19800 (or 19792 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 50.

The spelling of 66420071373344 in words is "sixty-six trillion, four hundred twenty billion, seventy-one million, three hundred seventy-three thousand, three hundred forty-four".