5008764000 has 384 divisors, whose sum is σ = 17478115200. Its totient is φ = 1251532800.

The previous prime is 5008763987. The next prime is 5008764041. The reversal of 5008764000 is 4678005.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12875806 + ... + 12876194.

It is an arithmetic number, because the mean of its divisors is an integer number (45515925).

Almost surely, 2^5008764000 is an apocalyptic number.

5008764000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5008764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739057600).

5008764000 is an abundant number, since it is smaller than the sum of its proper divisors (12469351200).

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

5008764000 is a wasteful number, since it uses less digits than its factorization.

5008764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5008764000 is about 70772.6218251097. The cubic root of 5008764000 is about 1710.9744454606.

The spelling of 5008764000 in words is "five billion, eight million, seven hundred sixty-four thousand".