5007663024 has 320 divisors, whose sum is σ = 16462946304. Its totient is φ = 1276674048.

The previous prime is 5007663007. The next prime is 5007663029. The reversal of 5007663024 is 4203667005.

It is not an unprimeable number, because it can be changed into a prime (5007663029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22455777 + ... + 22455999.

Almost surely, 2^5007663024 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 5007663024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8231473152).

5007663024 is an abundant number, since it is smaller than the sum of its proper divisors (11455283280).

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

5007663024 is a wasteful number, since it uses less digits than its factorization.

5007663024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 5007663024 is about 70764.8431355571. The cubic root of 5007663024 is about 1710.8490732238.

The spelling of 5007663024 in words is "five billion, seven million, six hundred sixty-three thousand, twenty-four".