5188004640 has 960 divisors, whose sum is σ = 23236367616. Its totient is φ = 1061019648.

The previous prime is 5188004623. The next prime is 5188004749. The reversal of 5188004640 is 464008815.

5188004640 is a `hidden beast` number, since 5 + 1 + 8 + 8 + 0 + 0 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5188004595 and 5188004604.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62506039 + ... + 62506121.

Almost surely, 2^5188004640 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 5188004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11618183808).

5188004640 is an abundant number, since it is smaller than the sum of its proper divisors (18048362976).

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

5188004640 is a wasteful number, since it uses less digits than its factorization.

5188004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5188004640 is about 72027.8046312672. The cubic root of 5188004640 is about 1731.1450247791.

The spelling of 5188004640 in words is "five billion, one hundred eighty-eight million, four thousand, six hundred forty".