5006769768 has 384 divisors, whose sum is σ = 18383339520. Its totient is φ = 1188794880.

The previous prime is 5006769749. The next prime is 5006769791. The reversal of 5006769768 is 8679676005.

It is a happy number.

5006769768 is a `hidden beast` number, since 500 + 6 + 7 + 69 + 76 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9152871 + ... + 9153417.

It is an arithmetic number, because the mean of its divisors is an integer number (47873280).

Almost surely, 2^5006769768 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 5006769768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9191669760).

5006769768 is an abundant number, since it is smaller than the sum of its proper divisors (13376569752).

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

5006769768 is a wasteful number, since it uses less digits than its factorization.

5006769768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 5006769768 is about 70758.5314149467. The cubic root of 5006769768 is about 1710.7473413335.

The spelling of 5006769768 in words is "five billion, six million, seven hundred sixty-nine thousand, seven hundred sixty-eight".