9442008576 has 960 divisors, whose sum is σ = 38607528960. Its totient is φ = 2141061120.

The previous prime is 9442008571. The next prime is 9442008593. The reversal of 9442008576 is 6758002449.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9442008571) 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 95 ways as a sum of consecutive naturals, for example, 106089940 + ... + 106090028.

It is an arithmetic number, because the mean of its divisors is an integer number (40216176).

Almost surely, 2^9442008576 is an apocalyptic number.

9442008576 is a gapful number since it is divisible by the number (96) 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 9442008576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19303764480).

9442008576 is an abundant number, since it is smaller than the sum of its proper divisors (29165520384).

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

9442008576 is a wasteful number, since it uses less digits than its factorization.

9442008576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 9442008576 is about 97169.9983328188. The cubic root of 9442008576 is about 2113.5934943831.

It can be divided in two parts, 9 and 442008576, that multiplied together give a square (3978077184 = 63072²).

The spelling of 9442008576 in words is "nine billion, four hundred forty-two million, eight thousand, five hundred seventy-six".