6336160000 has 135 divisors (see below), whose sum is σ = 15884220891. Its totient is φ = 2521728000.

The previous prime is 6336159997. The next prime is 6336160013. The reversal of 6336160000 is 616336.

The square root of 6336160000 is 79600.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 496754944 + 5839405056 = 22288^2 + 76416^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 31839901 + ... + 31840099.

Almost surely, 2^6336160000 is an apocalyptic number.

6336160000 is the 79600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6336160000

6336160000 is an abundant number, since it is smaller than the sum of its proper divisors (9548060891).

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

6336160000 is an frugal number, since it uses more digits than its factorization.

6336160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The cubic root of 6336160000 is about 1850.4415795184.

Multiplying 6336160000 by its sum of digits (25), we get a square (158404000000 = 398000²).

6336160000 divided by its sum of digits (25) gives a square (253446400 = 15920²).

Adding to 6336160000 its reverse (616336), we get a palindrome (6336776336).

The spelling of 6336160000 in words is "six billion, three hundred thirty-six million, one hundred sixty thousand".