9442068480 has 768 divisors, whose sum is σ = 37645171200. Its totient is φ = 2229534720.

The previous prime is 9442068479. The next prime is 9442068499. The reversal of 9442068480 is 848602449.

9442068480 is a `hidden beast` number, since 94 + 4 + 20 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 132986845 + ... + 132986915.

It is an arithmetic number, because the mean of its divisors is an integer number (49017150).

Almost surely, 2^9442068480 is an apocalyptic number.

9442068480 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 9442068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18822585600).

9442068480 is an abundant number, since it is smaller than the sum of its proper divisors (28203102720).

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

9442068480 is a wasteful number, since it uses less digits than its factorization.

9442068480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 9442068480 is about 97170.3065756201. The cubic root of 9442068480 is about 2113.5979642102.

The spelling of 9442068480 in words is "nine billion, four hundred forty-two million, sixty-eight thousand, four hundred eighty".