5007636480 has 768 divisors, whose sum is σ = 20945433600. Its totient is φ = 990904320.

The previous prime is 5007636443. The next prime is 5007636497. The reversal of 5007636480 is 846367005.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 68597724 + ... + 68597796.

It is an arithmetic number, because the mean of its divisors is an integer number (27272700).

Almost surely, 2^5007636480 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 5007636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10472716800).

5007636480 is an abundant number, since it is smaller than the sum of its proper divisors (15937797120).

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

5007636480 is a wasteful number, since it uses less digits than its factorization.

5007636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 5007636480 is about 70764.6555845501. The cubic root of 5007636480 is about 1710.8460503328.

The spelling of 5007636480 in words is "five billion, seven million, six hundred thirty-six thousand, four hundred eighty".