5006888640 has 588 divisors, whose sum is σ = 19509053184. Its totient is φ = 1222760448.

The previous prime is 5006888633. The next prime is 5006888651. The reversal of 5006888640 is 468886005.

5006888640 is a `hidden beast` number, since 500 + 6 + 8 + 88 + 64 + 0 = 666.

It is a super-2 number, since 2×5006888640² = 50137867706722099200, which contains 22 as substring.

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 83 ways as a sum of consecutive naturals, for example, 39424257 + ... + 39424383.

Almost surely, 2^5006888640 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 5006888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9754526592).

5006888640 is an abundant number, since it is smaller than the sum of its proper divisors (14502164544).

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

5006888640 is a wasteful number, since it uses less digits than its factorization.

5006888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 5006888640 is about 70759.3713934769. The cubic root of 5006888640 is about 1710.7608802257.

The spelling of 5006888640 in words is "five billion, six million, eight hundred eighty-eight thousand, six hundred forty".