6966846222336 has 2496 divisors, whose sum is σ = 28733849763840. Its totient is φ = 1618960711680.

The previous prime is 6966846222277. The next prime is 6966846222341. The reversal of 6966846222336 is 6332226486696.

6966846222336 is a `hidden beast` number, since 6 + 96 + 68 + 462 + 2 + 23 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67639283661 + ... + 67639283763.

It is an arithmetic number, because the mean of its divisors is an integer number (11511959040).

Almost surely, 2^{6966846222336} is an apocalyptic number.

6966846222336 is a gapful number since it is divisible by the number (66) 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 6966846222336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14366924881920).

6966846222336 is an abundant number, since it is smaller than the sum of its proper divisors (21767003541504).

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

6966846222336 is a wasteful number, since it uses less digits than its factorization.

6966846222336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 186 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 63.

The spelling of 6966846222336 in words is "six trillion, nine hundred sixty-six billion, eight hundred forty-six million, two hundred twenty-two thousand, three hundred thirty-six".