5008364820 has 72 divisors (see below), whose sum is σ = 15220112544. Its totient is φ = 1333096128.

The previous prime is 5008364789. The next prime is 5008364827. The reversal of 5008364820 is 284638005.

5008364820 is a `hidden beast` number, since 5 + 0 + 0 + 8 + 3 + 648 + 2 + 0 = 666.

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 (5008364827) 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 23 ways as a sum of consecutive naturals, for example, 73027 + ... + 123893.

It is an arithmetic number, because the mean of its divisors is an integer number (211390452).

Almost surely, 2^5008364820 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 5008364820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610056272).

5008364820 is an abundant number, since it is smaller than the sum of its proper divisors (10211747724).

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

5008364820 is a wasteful number, since it uses less digits than its factorization.

5008364820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51429 (or 51424 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5008364820 is about 70769.8016105740. The cubic root of 5008364820 is about 1710.9289914708.

The spelling of 5008364820 in words is "five billion, eight million, three hundred sixty-four thousand, eight hundred twenty".