9479145600 has 576 divisors, whose sum is σ = 37735308000. Its totient is φ = 2251653120.

The previous prime is 9479145527. The next prime is 9479145631. The reversal of 9479145600 is 65419749.

9479145600 is a `hidden beast` number, since 9 + 4 + 79 + 14 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9301891 + ... + 9302909.

Almost surely, 2^9479145600 is an apocalyptic number.

9479145600 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 9479145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18867654000).

9479145600 is an abundant number, since it is smaller than the sum of its proper divisors (28256162400).

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

9479145600 is a wasteful number, since it uses less digits than its factorization.

9479145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 9479145600 is about 97360.9038577601. The cubic root of 9479145600 is about 2116.3609100858.

The spelling of 9479145600 in words is "nine billion, four hundred seventy-nine million, one hundred forty-five thousand, six hundred".