7969873824 has 480 divisors, whose sum is σ = 26977370112. Its totient is φ = 2286144000.

The previous prime is 7969873823. The next prime is 7969873843. The reversal of 7969873824 is 4283789697.

It is not an unprimeable number, because it can be changed into a prime (7969873823) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 62754849 + ... + 62754975.

Almost surely, 2^7969873824 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 7969873824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13488685056).

7969873824 is an abundant number, since it is smaller than the sum of its proper divisors (19007496288).

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

7969873824 is a wasteful number, since it uses less digits than its factorization.

7969873824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The square root of 7969873824 is about 89274.1498083292. The cubic root of 7969873824 is about 1997.4863273819.

The spelling of 7969873824 in words is "seven billion, nine hundred sixty-nine million, eight hundred seventy-three thousand, eight hundred twenty-four".