7844969373696 has 1792 divisors, whose sum is σ = 30724085790720. Its totient is φ = 1919523225600.

The previous prime is 7844969373677. The next prime is 7844969373697. The reversal of 7844969373696 is 6963739694487.

It is a happy number.

7844969373696 is a `hidden beast` number, since 7 + 8 + 4 + 496 + 9 + 3 + 7 + 36 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7844969373697) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34559336335 + ... + 34559336561.

It is an arithmetic number, because the mean of its divisors is an integer number (17145137160).

Almost surely, 2^{7844969373696} 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 7844969373696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15362042895360).

7844969373696 is an abundant number, since it is smaller than the sum of its proper divisors (22879116417024).

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

7844969373696 is a wasteful number, since it uses less digits than its factorization.

7844969373696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 370 counting only the distinct ones).

The product of its digits is 8888527872, while the sum is 81.

The spelling of 7844969373696 in words is "seven trillion, eight hundred forty-four billion, nine hundred sixty-nine million, three hundred seventy-three thousand, six hundred ninety-six".