7066209289216 has 704 divisors, whose sum is σ = 19414505226240. Its totient is φ = 2487324672000.

The previous prime is 7066209289193. The next prime is 7066209289231. The reversal of 7066209289216 is 6129829026607.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

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, 3297343441 + ... + 3297345583.

Almost surely, 2^{7066209289216} is an apocalyptic number.

7066209289216 is a gapful number since it is divisible by the number (76) 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 7066209289216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9707252613120).

7066209289216 is an abundant number, since it is smaller than the sum of its proper divisors (12348295937024).

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

7066209289216 is a wasteful number, since it uses less digits than its factorization.

7066209289216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 7066209289216 in words is "seven trillion, sixty-six billion, two hundred nine million, two hundred eighty-nine thousand, two hundred sixteen".