5004913680 has 240 divisors, whose sum is σ = 18198835200. Its totient is φ = 1225331712.

The previous prime is 5004913619. The next prime is 5004913733. The reversal of 5004913680 is 863194005.

5004913680 is a `hidden beast` number, since 500 + 4 + 91 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×5004913680² = 50098321888502284800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1861297 + ... + 1863983.

It is an arithmetic number, because the mean of its divisors is an integer number (75828480).

Almost surely, 2^5004913680 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 5004913680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9099417600).

5004913680 is an abundant number, since it is smaller than the sum of its proper divisors (13193921520).

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

5004913680 is a wasteful number, since it uses less digits than its factorization.

5004913680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 5004913680 is about 70745.4145510506. The cubic root of 5004913680 is about 1710.5359149237.

The spelling of 5004913680 in words is "five billion, four million, nine hundred thirteen thousand, six hundred eighty".