7985584320 has 224 divisors, whose sum is σ = 29077042176. Its totient is φ = 1818931200.

The previous prime is 7985584289. The next prime is 7985584339. The reversal of 7985584320 is 234855897.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2088010 + ... + 2091830.

It is an arithmetic number, because the mean of its divisors is an integer number (129808224).

Almost surely, 2^7985584320 is an apocalyptic number.

7985584320 is a gapful number since it is divisible by the number (70) 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 7985584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14538521088).

7985584320 is an abundant number, since it is smaller than the sum of its proper divisors (21091457856).

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

7985584320 is a wasteful number, since it uses less digits than its factorization.

7985584320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4159 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The square root of 7985584320 is about 89362.0966629588. The cubic root of 7985584320 is about 1998.7979710413.

The spelling of 7985584320 in words is "seven billion, nine hundred eighty-five million, five hundred eighty-four thousand, three hundred twenty".