7989728832 has 168 divisors, whose sum is σ = 23527146240. Its totient is φ = 2591447040.

The previous prime is 7989728801. The next prime is 7989728843. The reversal of 7989728832 is 2388279897.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 7989728832.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3229548 + ... + 3232020.

Almost surely, 2^7989728832 is an apocalyptic number.

7989728832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7989728832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11763573120).

7989728832 is an abundant number, since it is smaller than the sum of its proper divisors (15537417408).

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

7989728832 is a wasteful number, since it uses less digits than its factorization.

7989728832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641 (or 2628 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The square root of 7989728832 is about 89385.2830839619. The cubic root of 7989728832 is about 1999.1437027632.

The spelling of 7989728832 in words is "seven billion, nine hundred eighty-nine million, seven hundred twenty-eight thousand, eight hundred thirty-two".