4755179520 has 1008 divisors, whose sum is σ = 21430297980. Its totient is φ = 1003290624.

The previous prime is 4755179519. The next prime is 4755179537. The reversal of 4755179520 is 259715574.

4755179520 is a `hidden beast` number, since 4 + 7 + 5 + 51 + 79 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4425974784 + 329204736 = 66528^2 + 18144^2 .

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

It is a super-2 number, since 2×4755179520² = 45223464534854860800, which contains 22 as substring.

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 83 ways as a sum of consecutive naturals, for example, 365783034 + ... + 365783046.

Almost surely, 2^4755179520 is an apocalyptic number.

4755179520 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 4755179520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10715148990).

4755179520 is an abundant number, since it is smaller than the sum of its proper divisors (16675118460).

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

4755179520 is an equidigital number, since it uses as much as digits as its factorization.

4755179520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The square root of 4755179520 is about 68957.8097099959. The cubic root of 4755179520 is about 1681.5984786046.

The spelling of 4755179520 in words is "four billion, seven hundred fifty-five million, one hundred seventy-nine thousand, five hundred twenty".