9385476480 has 384 divisors, whose sum is σ = 34785223200. Its totient is φ = 2415329280.

The previous prime is 9385476449. The next prime is 9385476481. The reversal of 9385476480 is 846745839.

9385476480 is a `hidden beast` number, since 9 + 38 + 547 + 64 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9385476481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4509040 + ... + 4511120.

Almost surely, 2^9385476480 is an apocalyptic number.

9385476480 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 9385476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17392611600).

9385476480 is an abundant number, since it is smaller than the sum of its proper divisors (25399746720).

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

9385476480 is a wasteful number, since it uses less digits than its factorization.

9385476480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 9385476480 is about 96878.6688595586. The cubic root of 9385476480 is about 2109.3668113460.

The spelling of 9385476480 in words is "nine billion, three hundred eighty-five million, four hundred seventy-six thousand, four hundred eighty".