5033120064 has 336 divisors, whose sum is σ = 16768998720. Its totient is φ = 1323786240.

The previous prime is 5033120063. The next prime is 5033120089. The reversal of 5033120064 is 4600213305.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5033120063) 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 47 ways as a sum of consecutive naturals, for example, 6613444 + ... + 6614204.

Almost surely, 2^5033120064 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 5033120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384499360).

5033120064 is an abundant number, since it is smaller than the sum of its proper divisors (11735878656).

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

5033120064 is a wasteful number, since it uses less digits than its factorization.

5033120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5033120064 is about 70944.4857899471. The cubic root of 5033120064 is about 1713.7432747904.

Adding to 5033120064 its reverse (4600213305), we get a palindrome (9633333369).

The spelling of 5033120064 in words is "five billion, thirty-three million, one hundred twenty thousand, sixty-four".