6944624264496 has 160 divisors (see below), whose sum is σ = 18997406588160. Its totient is φ = 2182281034752.

The previous prime is 6944624264471. The next prime is 6944624264507.

6944624264496 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6944624264496² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177333750 + ... + 177372906.

It is an arithmetic number, because the mean of its divisors is an integer number (118733791176).

Almost surely, 2^{6944624264496} 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 6944624264496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9498703294080).

6944624264496 is an abundant number, since it is smaller than the sum of its proper divisors (12052782323664).

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

6944624264496 is a wasteful number, since it uses less digits than its factorization.

6944624264496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42203 (or 42197 counting only the distinct ones).

The product of its digits is 429981696, while the sum is 66.

The spelling of 6944624264496 in words is "six trillion, nine hundred forty-four billion, six hundred twenty-four million, two hundred sixty-four thousand, four hundred ninety-six".