5340816000 has 640 divisors, whose sum is σ = 21429167760. Its totient is φ = 1310515200.

The previous prime is 5340815983. The next prime is 5340816007. The reversal of 5340816000 is 6180435.

5340816000 is a `hidden beast` number, since 53 + 4 + 0 + 8 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 432972864 + 4907843136 = 20808^2 + 70056^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340816007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16847842 + ... + 16848158.

Almost surely, 2^5340816000 is an apocalyptic number.

5340816000 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 5340816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714583880).

5340816000 is an abundant number, since it is smaller than the sum of its proper divisors (16088351760).

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

5340816000 is a wasteful number, since it uses less digits than its factorization.

5340816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5340816000 is about 73080.8866941282. The cubic root of 5340816000 is about 1747.9776365729.

Adding to 5340816000 its reverse (6180435), we get a palindrome (5346996435).

The spelling of 5340816000 in words is "five billion, three hundred forty million, eight hundred sixteen thousand".