5008540680 has 768 divisors, whose sum is σ = 20803910400. Its totient is φ = 1026293760.

The previous prime is 5008540661. The next prime is 5008540741. The reversal of 5008540680 is 860458005.

It is a happy number.

5008540680 is a `hidden beast` number, since 50 + 0 + 8 + 540 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 51634392 + ... + 51634488.

It is an arithmetic number, because the mean of its divisors is an integer number (27088425).

Almost surely, 2^5008540680 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 5008540680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401955200).

5008540680 is an abundant number, since it is smaller than the sum of its proper divisors (15795369720).

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

5008540680 is a wasteful number, since it uses less digits than its factorization.

5008540680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 207 counting only the distinct ones).

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

The square root of 5008540680 is about 70771.0440787756. The cubic root of 5008540680 is about 1710.9490166661.

Adding to 5008540680 its reverse (860458005), we get a palindrome (5868998685).

The spelling of 5008540680 in words is "five billion, eight million, five hundred forty thousand, six hundred eighty".