7985322432 has 336 divisors, whose sum is σ = 24963120000. Its totient is φ = 2432636928.

The previous prime is 7985322431. The next prime is 7985322481. The reversal of 7985322432 is 2342235897.

7985322432 is a `hidden beast` number, since 7 + 98 + 532 + 24 + 3 + 2 = 666.

Its product of digits (725760) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7985322431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53592694 + ... + 53592842.

It is an arithmetic number, because the mean of its divisors is an integer number (74295000).

Almost surely, 2^7985322432 is an apocalyptic number.

7985322432 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 7985322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481560000).

7985322432 is an abundant number, since it is smaller than the sum of its proper divisors (16977797568).

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

7985322432 is a wasteful number, since it uses less digits than its factorization.

7985322432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 7985322432 is about 89360.6313317000. The cubic root of 7985322432 is about 1998.7761205456.

The spelling of 7985322432 in words is "seven billion, nine hundred eighty-five million, three hundred twenty-two thousand, four hundred thirty-two".