5330384640 has 864 divisors, whose sum is σ = 22958208000. Its totient is φ = 1137991680.

The previous prime is 5330384597. The next prime is 5330384641. The reversal of 5330384640 is 464830335.

5330384640 is a `hidden beast` number, since 5 + 3 + 3 + 0 + 3 + 8 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5330384595 and 5330384604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5330384641) 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 95 ways as a sum of consecutive naturals, for example, 75075805 + ... + 75075875.

It is an arithmetic number, because the mean of its divisors is an integer number (26572000).

Almost surely, 2^5330384640 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 5330384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11479104000).

5330384640 is an abundant number, since it is smaller than the sum of its proper divisors (17627823360).

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

5330384640 is a wasteful number, since it uses less digits than its factorization.

5330384640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5330384640 is about 73009.4832196476. The cubic root of 5330384640 is about 1746.8388800022.

The spelling of 5330384640 in words is "five billion, three hundred thirty million, three hundred eighty-four thousand, six hundred forty".