5304368160 has 768 divisors, whose sum is σ = 23247544320. Its totient is φ = 1099837440.

The previous prime is 5304368129. The next prime is 5304368161. The reversal of 5304368160 is 618634035.

5304368160 is a `hidden beast` number, since 530 + 4 + 3 + 68 + 1 + 60 = 666.

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 (5304368161) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 40491295 + ... + 40491425.

It is an arithmetic number, because the mean of its divisors is an integer number (30270240).

Almost surely, 2^5304368160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5304368160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11623772160).

5304368160 is an abundant number, since it is smaller than the sum of its proper divisors (17943176160).

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

5304368160 is a wasteful number, since it uses less digits than its factorization.

5304368160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5304368160 is about 72831.0933599105. The cubic root of 5304368160 is about 1743.9922600167.

The spelling of 5304368160 in words is "five billion, three hundred four million, three hundred sixty-eight thousand, one hundred sixty".