5011566768 has 320 divisors, whose sum is σ = 16573939200. Its totient is φ = 1437004800.

The previous prime is 5011566757. The next prime is 5011566797. The reversal of 5011566768 is 8676651105.

5011566768 is a `hidden beast` number, since 5 + 0 + 11 + 566 + 76 + 8 = 666.

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, 7148818 + ... + 7149518.

It is an arithmetic number, because the mean of its divisors is an integer number (51793560).

Almost surely, 2^5011566768 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 5011566768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8286969600).

5011566768 is an abundant number, since it is smaller than the sum of its proper divisors (11562372432).

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

5011566768 is a wasteful number, since it uses less digits than its factorization.

5011566768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5011566768 is about 70792.4202722297. The cubic root of 5011566768 is about 1711.2935241949.

The spelling of 5011566768 in words is "five billion, eleven million, five hundred sixty-six thousand, seven hundred sixty-eight".