9842476320 has 288 divisors, whose sum is σ = 34948368000. Its totient is φ = 2587064832.

The previous prime is 9842476313. The next prime is 9842476327. The reversal of 9842476320 is 236742489.

9842476320 is a `hidden beast` number, since 9 + 8 + 4 + 2 + 4 + 7 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9842476313) and next prime (9842476327).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (9842476327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49459581 + ... + 49459779.

It is an arithmetic number, because the mean of its divisors is an integer number (121348500).

Almost surely, 2^9842476320 is an apocalyptic number.

9842476320 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 9842476320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17474184000).

9842476320 is an abundant number, since it is smaller than the sum of its proper divisors (25105891680).

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

9842476320 is a wasteful number, since it uses less digits than its factorization.

9842476320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 9842476320 is about 99209.2552134124. The cubic root of 9842476320 is about 2143.0622825324.

The spelling of 9842476320 in words is "nine billion, eight hundred forty-two million, four hundred seventy-six thousand, three hundred twenty".