9505336064 has 144 divisors (see below), whose sum is σ = 22491979776. Its totient is φ = 3923251200.

The previous prime is 9505336031. The next prime is 9505336097. The reversal of 9505336064 is 4606335059.

It is an interprime number because it is at equal distance from previous prime (9505336031) and next prime (9505336097).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22053929 + ... + 22054359.

It is an arithmetic number, because the mean of its divisors is an integer number (156194304).

Almost surely, 2^9505336064 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 9505336064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11245989888).

9505336064 is an abundant number, since it is smaller than the sum of its proper divisors (12986643712).

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

9505336064 is a wasteful number, since it uses less digits than its factorization.

9505336064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 41.

The square root of 9505336064 is about 97495.3130360634. The cubic root of 9505336064 is about 2118.3082552005.

The spelling of 9505336064 in words is "nine billion, five hundred five million, three hundred thirty-six thousand, sixty-four".