7509478032 has 160 divisors (see below), whose sum is σ = 25207592960. Its totient is φ = 2095632000.

The previous prime is 7509477979. The next prime is 7509478057. The reversal of 7509478032 is 2308749057.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 101157 + ... + 158907.

It is an arithmetic number, because the mean of its divisors is an integer number (157547456).

Almost surely, 2^7509478032 is an apocalyptic number.

7509478032 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 7509478032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12603796480).

7509478032 is an abundant number, since it is smaller than the sum of its proper divisors (17698114928).

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

7509478032 is a wasteful number, since it uses less digits than its factorization.

7509478032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57818 (or 57806 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 7509478032 is about 86657.2445442388. The cubic root of 7509478032 is about 1958.2580343914.

The spelling of 7509478032 in words is "seven billion, five hundred nine million, four hundred seventy-eight thousand, thirty-two".