5318740800 has 672 divisors, whose sum is σ = 20817596160. Its totient is φ = 1317888000.

The previous prime is 5318740753. The next prime is 5318740849. The reversal of 5318740800 is 80478135.

5318740800 is a `hidden beast` number, since 531 + 8 + 7 + 40 + 80 + 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 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, 52660750 + ... + 52660850.

Almost surely, 2^5318740800 is an apocalyptic number.

5318740800 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 5318740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10408798080).

5318740800 is an abundant number, since it is smaller than the sum of its proper divisors (15498855360).

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

5318740800 is a wasteful number, since it uses less digits than its factorization.

5318740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5318740800 is about 72929.6976546592. The cubic root of 5318740800 is about 1745.5660049562.

The spelling of 5318740800 in words is "five billion, three hundred eighteen million, seven hundred forty thousand, eight hundred".