4793218560 has 360 divisors, whose sum is σ = 17990036064. Its totient is φ = 1178910720.

The previous prime is 4793218541. The next prime is 4793218603. The reversal of 4793218560 is 658123974.

4793218560 is a `hidden beast` number, since 4 + 79 + 3 + 2 + 18 + 560 = 666.

4793218560 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

4793218560 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3893145 + ... + 3894375.

It is a 2-persistent number, because it is pandigital, and so is 2⋅4793218560 = 9586437120, but 3⋅4793218560 = 14379655680 is not.

Almost surely, 2^4793218560 is an apocalyptic number.

4793218560 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 4793218560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8995018032).

4793218560 is an abundant number, since it is smaller than the sum of its proper divisors (13196817504).

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

4793218560 is a wasteful number, since it uses less digits than its factorization.

4793218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4793218560 is about 69233.0741770146. The cubic root of 4793218560 is about 1686.0705550866.

The spelling of 4793218560 in words is "four billion, seven hundred ninety-three million, two hundred eighteen thousand, five hundred sixty".