5065424640 has 288 divisors, whose sum is σ = 18162493440. Its totient is φ = 1336725504.

The previous prime is 5065424627. The next prime is 5065424687. The reversal of 5065424640 is 464245605.

5065424640 is a `hidden beast` number, since 5 + 0 + 6 + 5 + 4 + 2 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 5065424595 and 5065424604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3558969 + ... + 3560391.

Almost surely, 2^5065424640 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 5065424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081246720).

5065424640 is an abundant number, since it is smaller than the sum of its proper divisors (13097068800).

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

5065424640 is a wasteful number, since it uses less digits than its factorization.

5065424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5065424640 is about 71171.7966613180. The cubic root of 5065424640 is about 1717.4019547013.

The spelling of 5065424640 in words is "five billion, sixty-five million, four hundred twenty-four thousand, six hundred forty".