4487218560 has 768 divisors, whose sum is σ = 18231333120. Its totient is φ = 1045094400.

The previous prime is 4487218559. The next prime is 4487218579. The reversal of 4487218560 is 658127844.

4487218560 is a `hidden beast` number, since 4 + 4 + 8 + 72 + 18 + 560 = 666.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 73560930 + ... + 73560990.

It is an arithmetic number, because the mean of its divisors is an integer number (23738715).

Almost surely, 2^4487218560 is an apocalyptic number.

4487218560 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 4487218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9115666560).

4487218560 is an abundant number, since it is smaller than the sum of its proper divisors (13744114560).

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

4487218560 is a wasteful number, since it uses less digits than its factorization.

4487218560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4487218560 is about 66986.7043524310. The cubic root of 4487218560 is about 1649.3990538834.

The spelling of 4487218560 in words is "four billion, four hundred eighty-seven million, two hundred eighteen thousand, five hundred sixty".