7944384129696 has 480 divisors, whose sum is σ = 27288347530752. Its totient is φ = 2220042608640.

The previous prime is 7944384129667. The next prime is 7944384129751. The reversal of 7944384129696 is 6969214834497.

It is a happy number.

7944384129696 is a `hidden beast` number, since 7 + 9 + 4 + 4 + 38 + 412 + 96 + 96 = 666.

It is a super-4 number, since 4×7944384129696⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2112304456 + ... + 2112308216.

Almost surely, 2^{7944384129696} 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 7944384129696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13644173765376).

7944384129696 is an abundant number, since it is smaller than the sum of its proper divisors (19343963401056).

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

7944384129696 is a wasteful number, since it uses less digits than its factorization.

7944384129696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6314 (or 6297 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 7944384129696 in words is "seven trillion, nine hundred forty-four billion, three hundred eighty-four million, one hundred twenty-nine thousand, six hundred ninety-six".