9546380064 has 720 divisors, whose sum is σ = 33926618880. Its totient is φ = 2620200960.

The previous prime is 9546380059. The next prime is 9546380089. The reversal of 9546380064 is 4600836459.

9546380064 is a `hidden beast` number, since 9 + 5 + 4 + 638 + 0 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×9546380064² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 258010254 + ... + 258010290.

It is an arithmetic number, because the mean of its divisors is an integer number (47120304).

Almost surely, 2^9546380064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9546380064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963309440).

9546380064 is an abundant number, since it is smaller than the sum of its proper divisors (24380238816).

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

9546380064 is a wasteful number, since it uses less digits than its factorization.

9546380064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 9546380064 is about 97705.5784691949. The cubic root of 9546380064 is about 2121.3528258757.

The spelling of 9546380064 in words is "nine billion, five hundred forty-six million, three hundred eighty thousand, sixty-four".