4535218464 has 192 divisors, whose sum is σ = 14065228800. Its totient is φ = 1252482048.

The previous prime is 4535218459. The next prime is 4535218477. The reversal of 4535218464 is 4648125354.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4450147 + ... + 4451165.

It is an arithmetic number, because the mean of its divisors is an integer number (73256400).

Almost surely, 2^4535218464 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 4535218464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032614400).

4535218464 is an abundant number, since it is smaller than the sum of its proper divisors (9530010336).

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

4535218464 is a wasteful number, since it uses less digits than its factorization.

4535218464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1247 counting only the distinct ones).

The product of its digits is 460800, while the sum is 42.

The square root of 4535218464 is about 67344.0306486031. The cubic root of 4535218464 is about 1655.2594298846.

The spelling of 4535218464 in words is "four billion, five hundred thirty-five million, two hundred eighteen thousand, four hundred sixty-four".