4755058560 has 512 divisors, whose sum is σ = 20269440000. Its totient is φ = 1029169152.

The previous prime is 4755058547. The next prime is 4755058577. The reversal of 4755058560 is 658505574.

4755058560 is a `hidden beast` number, since 4 + 7 + 5 + 5 + 0 + 585 + 60 = 666.

It is a super-2 number, since 2×4755058560² = 45221163818058547200, which contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2297206 + ... + 2299274.

It is an arithmetic number, because the mean of its divisors is an integer number (39588750).

Almost surely, 2^4755058560 is an apocalyptic number.

4755058560 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 4755058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10134720000).

4755058560 is an abundant number, since it is smaller than the sum of its proper divisors (15514381440).

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

4755058560 is a wasteful number, since it uses less digits than its factorization.

4755058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123 (or 2105 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The square root of 4755058560 is about 68956.9326463989. The cubic root of 4755058560 is about 1681.5842199157.

The spelling of 4755058560 in words is "four billion, seven hundred fifty-five million, fifty-eight thousand, five hundred sixty".