9507680064 has 84 divisors (see below), whose sum is σ = 27448337280. Its totient is φ = 3146400000.

The previous prime is 9507680041. The next prime is 9507680069. The reversal of 9507680064 is 4600867059.

9507680064 is a `hidden beast` number, since 9 + 507 + 6 + 80 + 0 + 64 = 666.

9507680064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9507680069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20689 + ... + 139439.

It is an arithmetic number, because the mean of its divisors is an integer number (326765920).

Almost surely, 2^9507680064 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 9507680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724168640).

9507680064 is an abundant number, since it is smaller than the sum of its proper divisors (17940657216).

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

9507680064 is a wasteful number, since it uses less digits than its factorization.

9507680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118908 (or 118895 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9507680064 is about 97507.3333857510. Note that the first 4 decimals coincide. The cubic root of 9507680064 is about 2118.4823646490.

The spelling of 9507680064 in words is "nine billion, five hundred seven million, six hundred eighty thousand, sixty-four".