5006626560 has 432 divisors, whose sum is σ = 18896518368. Its totient is φ = 1216512000.

The previous prime is 5006626549. The next prime is 5006626561. The reversal of 5006626560 is 656266005.

It is a super-2 number, since 2×5006626560² = 50132619022594867200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006626561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15125595 + ... + 15125925.

Almost surely, 2^5006626560 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 5006626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9448259184).

5006626560 is an abundant number, since it is smaller than the sum of its proper divisors (13889891808).

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

5006626560 is a wasteful number, since it uses less digits than its factorization.

5006626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5006626560 is about 70757.5194590653. The cubic root of 5006626560 is about 1710.7310304150.

The spelling of 5006626560 in words is "five billion, six million, six hundred twenty-six thousand, five hundred sixty".