5364840000 has 560 divisors, whose sum is σ = 20218278080. Its totient is φ = 1244160000.

The previous prime is 5364839983. The next prime is 5364840001. The reversal of 5364840000 is 484635.

5364840000 is nontrivially palindromic in base 7.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5364840000.

It is not an unprimeable number, because it can be changed into a prime (5364840001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 29639910 + ... + 29640090.

It is an arithmetic number, because the mean of its divisors is an integer number (36104068).

Almost surely, 2^5364840000 is an apocalyptic number.

5364840000 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 5364840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10109139040).

5364840000 is an abundant number, since it is smaller than the sum of its proper divisors (14853438080).

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

5364840000 is a wasteful number, since it uses less digits than its factorization.

5364840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 5364840000 is about 73245.0680933536. The cubic root of 5364840000 is about 1750.5946278621.

The spelling of 5364840000 in words is "five billion, three hundred sixty-four million, eight hundred forty thousand".