5117768460 has 192 divisors, whose sum is σ = 18258186240. Its totient is φ = 1165812480.

The previous prime is 5117768443. The next prime is 5117768489. The reversal of 5117768460 is 648677115.

5117768460 is a `hidden beast` number, since 5 + 117 + 76 + 8 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1196125 + ... + 1200395.

It is an arithmetic number, because the mean of its divisors is an integer number (95094720).

Almost surely, 2^5117768460 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 5117768460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9129093120).

5117768460 is an abundant number, since it is smaller than the sum of its proper divisors (13140417780).

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

5117768460 is a wasteful number, since it uses less digits than its factorization.

5117768460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4613 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 5117768460 is about 71538.5802207452. The cubic root of 5117768460 is about 1723.2973142217.

The spelling of 5117768460 in words is "five billion, one hundred seventeen million, seven hundred sixty-eight thousand, four hundred sixty".