9504518400 has 432 divisors, whose sum is σ = 37541902720. Its totient is φ = 2339020800.

The previous prime is 9504518383. The next prime is 9504518407. The reversal of 9504518400 is 48154059.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9504518407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2244285 + ... + 2248515.

Almost surely, 2^9504518400 is an apocalyptic number.

9504518400 is a gapful number since it is divisible by the number (90) 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 9504518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18770951360).

9504518400 is an abundant number, since it is smaller than the sum of its proper divisors (28037384320).

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

9504518400 is a wasteful number, since it uses less digits than its factorization.

9504518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 9504518400 is about 97491.1195955816. The cubic root of 9504518400 is about 2118.2475133864.

The spelling of 9504518400 in words is "nine billion, five hundred four million, five hundred eighteen thousand, four hundred".