9438515520 has 448 divisors, whose sum is σ = 36236574720. Its totient is φ = 2034819072.

The previous prime is 9438515507. The next prime is 9438515531. The reversal of 9438515520 is 255158349.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12209854 + ... + 12210626.

Almost surely, 2^9438515520 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 9438515520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18118287360).

9438515520 is an abundant number, since it is smaller than the sum of its proper divisors (26798059200).

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

9438515520 is a wasteful number, since it uses less digits than its factorization.

9438515520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 9438515520 is about 97152.0227272701. The cubic root of 9438515520 is about 2113.3328220556.

The spelling of 9438515520 in words is "nine billion, four hundred thirty-eight million, five hundred fifteen thousand, five hundred twenty".