9503936064 has 336 divisors, whose sum is σ = 32793033728. Its totient is φ = 2672828928.

The previous prime is 9503936047. The next prime is 9503936083. The reversal of 9503936064 is 4606393059.

It is a happy number.

9503936064 is a `hidden beast` number, since 9 + 5 + 0 + 39 + 3 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7293237 + ... + 7294539.

Almost surely, 2^9503936064 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 9503936064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16396516864).

9503936064 is an abundant number, since it is smaller than the sum of its proper divisors (23289097664).

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

9503936064 is a wasteful number, since it uses less digits than its factorization.

9503936064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1404 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 9503936064 is about 97488.1329393481. The cubic root of 9503936064 is about 2118.2042512618.

The spelling of 9503936064 in words is "nine billion, five hundred three million, nine hundred thirty-six thousand, sixty-four".