9479424000 has 192 divisors, whose sum is σ = 31542376320. Its totient is φ = 2527641600.

The previous prime is 9479423999. The next prime is 9479424023. The reversal of 9479424000 is 4249749.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 9479424000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 761829 + ... + 774171.

It is an arithmetic number, because the mean of its divisors is an integer number (164283210).

Almost surely, 2^9479424000 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 9479424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15771188160).

9479424000 is an abundant number, since it is smaller than the sum of its proper divisors (22062952320).

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

9479424000 is a wasteful number, since it uses less digits than its factorization.

9479424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12383 (or 12353 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 9479424000 is about 97362.3335792646. Note that the first 3 decimals coincide. The cubic root of 9479424000 is about 2116.3816288698.

The spelling of 9479424000 in words is "nine billion, four hundred seventy-nine million, four hundred twenty-four thousand".