66002200656450 has 384 divisors, whose sum is σ = 177990607872000. Its totient is φ = 16133572224000.

The previous prime is 66002200656443. The next prime is 66002200656467. The reversal of 66002200656450 is 5465600220066.

66002200656450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×66002200656450³ (a number of 42 digits) contains 333 as substring.

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 191 ways as a sum of consecutive naturals, for example, 5714965276 + ... + 5714976824.

It is an arithmetic number, because the mean of its divisors is an integer number (463517208000).

Almost surely, 2^{66002200656450} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66002200656450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88995303936000).

66002200656450 is an abundant number, since it is smaller than the sum of its proper divisors (111988407215550).

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

66002200656450 is a wasteful number, since it uses less digits than its factorization.

66002200656450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12178 (or 12173 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 66002200656450 in words is "sixty-six trillion, two billion, two hundred million, six hundred fifty-six thousand, four hundred fifty".