5005808640 has 528 divisors, whose sum is σ = 20722190400. Its totient is φ = 1142636544.

The previous prime is 5005808629. The next prime is 5005808641. The reversal of 5005808640 is 468085005.

It is a happy number.

5005808640 is a `hidden beast` number, since 5 + 0 + 0 + 5 + 8 + 0 + 8 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 5005808595 and 5005808604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005808641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6773391 + ... + 6774129.

Almost surely, 2^5005808640 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 5005808640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10361095200).

5005808640 is an abundant number, since it is smaller than the sum of its proper divisors (15716381760).

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

5005808640 is a wasteful number, since it uses less digits than its factorization.

5005808640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5005808640 is about 70751.7394839166. The cubic root of 5005808640 is about 1710.6378660649.

The spelling of 5005808640 in words is "five billion, five million, eight hundred eight thousand, six hundred forty".