5128064640 has 320 divisors, whose sum is σ = 18909918720. Its totient is φ = 1322956800.

The previous prime is 5128064621. The next prime is 5128064647. The reversal of 5128064640 is 464608215.

5128064640 is a `hidden beast` number, since 5 + 1 + 2 + 8 + 0 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 5128064595 and 5128064604.

It is not an unprimeable number, because it can be changed into a prime (5128064647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1605445 + ... + 1608635.

It is an arithmetic number, because the mean of its divisors is an integer number (59093496).

Almost surely, 2^5128064640 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 5128064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9454959360).

5128064640 is an abundant number, since it is smaller than the sum of its proper divisors (13781854080).

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

5128064640 is a wasteful number, since it uses less digits than its factorization.

5128064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3253 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5128064640 is about 71610.5064917153. The cubic root of 5128064640 is about 1724.4522116969.

The spelling of 5128064640 in words is "five billion, one hundred twenty-eight million, sixty-four thousand, six hundred forty".