9478785600 has 252 divisors, whose sum is σ = 33791743440. Its totient is φ = 2520038400.

The previous prime is 9478785593. The next prime is 9478785619. The reversal of 9478785600 is 65878749.

9478785600 is a `hidden beast` number, since 9 + 4 + 7 + 8 + 78 + 560 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6032815 + ... + 6034385.

It is an arithmetic number, because the mean of its divisors is an integer number (134094220).

Almost surely, 2^9478785600 is an apocalyptic number.

9478785600 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 9478785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16895871720).

9478785600 is an abundant number, since it is smaller than the sum of its proper divisors (24312957840).

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

9478785600 is a wasteful number, since it uses less digits than its factorization.

9478785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2018 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 9478785600 is about 97359.0550488243. The cubic root of 9478785600 is about 2116.3341179534.

The spelling of 9478785600 in words is "nine billion, four hundred seventy-eight million, seven hundred eighty-five thousand, six hundred".