4560663984 has 160 divisors (see below), whose sum is σ = 12743184384. Its totient is φ = 1400340480.

The previous prime is 4560663959. The next prime is 4560664049. The reversal of 4560663984 is 4893660654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12919552 + ... + 12919904.

Almost surely, 2^4560663984 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 4560663984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6371592192).

4560663984 is an abundant number, since it is smaller than the sum of its proper divisors (8182520400).

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

4560663984 is a wasteful number, since it uses less digits than its factorization.

4560663984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The square root of 4560663984 is about 67532.6882627961. The cubic root of 4560663984 is about 1658.3493515979.

The spelling of 4560663984 in words is "four billion, five hundred sixty million, six hundred sixty-three thousand, nine hundred eighty-four".