5200664832 has 288 divisors, whose sum is σ = 17025375360. Its totient is φ = 1552711680.

The previous prime is 5200664813. The next prime is 5200664869. The reversal of 5200664832 is 2384660025.

5200664832 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 6 + 648 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5549868 + ... + 5550804.

Almost surely, 2^5200664832 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 5200664832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8512687680).

5200664832 is an abundant number, since it is smaller than the sum of its proper divisors (11824710528).

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

5200664832 is a wasteful number, since it uses less digits than its factorization.

5200664832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5200664832 is about 72115.6351424571. The cubic root of 5200664832 is about 1732.5520413145.

The spelling of 5200664832 in words is "five billion, two hundred million, six hundred sixty-four thousand, eight hundred thirty-two".