5436668160 has 864 divisors, whose sum is σ = 24427533312. Its totient is φ = 1124720640.

The previous prime is 5436668147. The next prime is 5436668179. The reversal of 5436668160 is 618666345.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23949967 + ... + 23950193.

It is an arithmetic number, because the mean of its divisors is an integer number (28272608).

Almost surely, 2^5436668160 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 5436668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213766656).

5436668160 is an abundant number, since it is smaller than the sum of its proper divisors (18990865152).

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

5436668160 is a wasteful number, since it uses less digits than its factorization.

5436668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 5436668160 is about 73733.7653995780. The cubic root of 5436668160 is about 1758.3727383536.

The spelling of 5436668160 in words is "five billion, four hundred thirty-six million, six hundred sixty-eight thousand, one hundred sixty".