9503478432 has 144 divisors (see below), whose sum is σ = 30932358912. Its totient is φ = 2711232000.

The previous prime is 9503478409. The next prime is 9503478433. The reversal of 9503478432 is 2348743059.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×9503478432² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9503478433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1510878 + ... + 1517154.

It is an arithmetic number, because the mean of its divisors is an integer number (214808048).

Almost surely, 2^9503478432 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 9503478432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15466179456).

9503478432 is an abundant number, since it is smaller than the sum of its proper divisors (21428880480).

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

9503478432 is a wasteful number, since it uses less digits than its factorization.

9503478432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7040 counting only the distinct ones).

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

The square root of 9503478432 is about 97485.7857946480. The cubic root of 9503478432 is about 2118.1702522393.

The spelling of 9503478432 in words is "nine billion, five hundred three million, four hundred seventy-eight thousand, four hundred thirty-two".