5356368000 has 320 divisors, whose sum is σ = 19898512920. Its totient is φ = 1428019200.

The previous prime is 5356367969. The next prime is 5356368001. The reversal of 5356368000 is 8636535.

5356368000 is a `hidden beast` number, since 535 + 63 + 68 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2210504256 + 3145863744 = 47016^2 + 56088^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is not an unprimeable number, because it can be changed into a prime (5356368001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1293934 + ... + 1298066.

Almost surely, 2^5356368000 is an apocalyptic number.

5356368000 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 5356368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9949256460).

5356368000 is an abundant number, since it is smaller than the sum of its proper divisors (14542144920).

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

5356368000 is an equidigital number, since it uses as much as digits as its factorization.

5356368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4174 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5356368000 is about 73187.2119977254. The cubic root of 5356368000 is about 1749.6726462523.

The spelling of 5356368000 in words is "five billion, three hundred fifty-six million, three hundred sixty-eight thousand".