5009688576 has 144 divisors (see below), whose sum is σ = 14554874880. Its totient is φ = 1659985920.

The previous prime is 5009688569. The next prime is 5009688587. The reversal of 5009688576 is 6758869005.

5009688576 is a `hidden beast` number, since 5 + 0 + 0 + 9 + 68 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3519801 + ... + 3521223.

It is an arithmetic number, because the mean of its divisors is an integer number (101075520).

Almost surely, 2^5009688576 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 5009688576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277437440).

5009688576 is an abundant number, since it is smaller than the sum of its proper divisors (9545186304).

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

5009688576 is a wasteful number, since it uses less digits than its factorization.

5009688576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The square root of 5009688576 is about 70779.1535411381. The cubic root of 5009688576 is about 1711.0797161809.

The spelling of 5009688576 in words is "five billion, nine million, six hundred eighty-eight thousand, five hundred seventy-six".