5007536640 has 800 divisors, whose sum is σ = 19963722240. Its totient is φ = 1194393600.

The previous prime is 5007536629. The next prime is 5007536687. The reversal of 5007536640 is 466357005.

5007536640 is a `hidden beast` number, since 5 + 0 + 0 + 7 + 5 + 3 + 6 + 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 = 5007536595 and 5007536604.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 122135020 + ... + 122135060.

Almost surely, 2^5007536640 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 5007536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9981861120).

5007536640 is an abundant number, since it is smaller than the sum of its proper divisors (14956185600).

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

5007536640 is a wasteful number, since it uses less digits than its factorization.

5007536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5007536640 is about 70763.9501441235. The cubic root of 5007536640 is about 1710.8346802313.

The spelling of 5007536640 in words is "five billion, seven million, five hundred thirty-six thousand, six hundred forty".