4514758560 has 480 divisors, whose sum is σ = 17376049152. Its totient is φ = 1097349120.

The previous prime is 4514758559. The next prime is 4514758607. The reversal of 4514758560 is 658574154.

4514758560 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 7 + 585 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21396855 + ... + 21397065.

Almost surely, 2^4514758560 is an apocalyptic number.

4514758560 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 4514758560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8688024576).

4514758560 is an abundant number, since it is smaller than the sum of its proper divisors (12861290592).

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

4514758560 is a wasteful number, since it uses less digits than its factorization.

4514758560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 4514758560 is about 67191.9530896372. The cubic root of 4514758560 is about 1652.7665323544.

The spelling of 4514758560 in words is "four billion, five hundred fourteen million, seven hundred fifty-eight thousand, five hundred sixty".