6944846211072 has 2160 divisors, whose sum is σ = 27766921422240. Its totient is φ = 1719807344640.

The previous prime is 6944846210993. The next prime is 6944846211091. The reversal of 6944846211072 is 2701126484496.

6944846211072 is a `hidden beast` number, since 6 + 9 + 4 + 4 + 8 + 4 + 621 + 1 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×6944846211072² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 179 ways as a sum of consecutive naturals, for example, 22621648743 + ... + 22621649049.

It is an arithmetic number, because the mean of its divisors is an integer number (12855056214).

Almost surely, 2^{6944846211072} 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 6944846211072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13883460711120).

6944846211072 is an abundant number, since it is smaller than the sum of its proper divisors (20822075211168).

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

6944846211072 is a wasteful number, since it uses less digits than its factorization.

6944846211072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 6944846211072 in words is "six trillion, nine hundred forty-four billion, eight hundred forty-six million, two hundred eleven thousand, seventy-two".