5002732800 has 864 divisors, whose sum is σ = 21077400960. Its totient is φ = 1150156800.

The previous prime is 5002732799. The next prime is 5002732811. The reversal of 5002732800 is 82372005.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) 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 (27).

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 95 ways as a sum of consecutive naturals, for example, 38188735 + ... + 38188865.

It is an arithmetic number, because the mean of its divisors is an integer number (24395140).

Almost surely, 2^5002732800 is an apocalyptic number.

5002732800 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 5002732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10538700480).

5002732800 is an abundant number, since it is smaller than the sum of its proper divisors (16074668160).

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

5002732800 is a wasteful number, since it uses less digits than its factorization.

5002732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5002732800 is about 70729.9992930864. Note that the first 3 decimals coincide. The cubic root of 5002732800 is about 1710.2874247542.

The spelling of 5002732800 in words is "five billion, two million, seven hundred thirty-two thousand, eight hundred".