4863418560 has 1008 divisors, whose sum is σ = 22956085152. Its totient is φ = 928972800.

The previous prime is 4863418541. The next prime is 4863418561. The reversal of 4863418560 is 658143684.

4863418560 is a `hidden beast` number, since 4 + 8 + 634 + 1 + 8 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is not an unprimeable number, because it can be changed into a prime (4863418561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20180040 + ... + 20180280.

It is an arithmetic number, because the mean of its divisors is an integer number (22773894).

Almost surely, 2^4863418560 is an apocalyptic number.

4863418560 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 4863418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11478042576).

4863418560 is an abundant number, since it is smaller than the sum of its proper divisors (18092666592).

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

4863418560 is a wasteful number, since it uses less digits than its factorization.

4863418560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4863418560 is about 69738.2144881843. The cubic root of 4863418560 is about 1694.2619179287.

The spelling of 4863418560 in words is "four billion, eight hundred sixty-three million, four hundred eighteen thousand, five hundred sixty".