4536468160 has 224 divisors, whose sum is σ = 12674608128. Its totient is φ = 1514557440.

The previous prime is 4536468151. The next prime is 4536468179. The reversal of 4536468160 is 618646354.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 25063270 + ... + 25063450.

It is an arithmetic number, because the mean of its divisors is an integer number (56583072).

Almost surely, 2^4536468160 is an apocalyptic number.

4536468160 is a gapful number since it is divisible by the number (40) 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 4536468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337304064).

4536468160 is an abundant number, since it is smaller than the sum of its proper divisors (8138139968).

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

4536468160 is a wasteful number, since it uses less digits than its factorization.

4536468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The square root of 4536468160 is about 67353.3084562295. The cubic root of 4536468160 is about 1655.4114535143.

The spelling of 4536468160 in words is "four billion, five hundred thirty-six million, four hundred sixty-eight thousand, one hundred sixty".