4755879360 has 784 divisors, whose sum is σ = 18989344800. Its totient is φ = 1128701952.

The previous prime is 4755879313. The next prime is 4755879371. The reversal of 4755879360 is 639785574.

4755879360 is a `hidden beast` number, since 475 + 5 + 87 + 93 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4755879297 and 4755879306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 128537262 + ... + 128537298.

Almost surely, 2^4755879360 is an apocalyptic number.

4755879360 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 4755879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9494672400).

4755879360 is an abundant number, since it is smaller than the sum of its proper divisors (14233465440).

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

4755879360 is a wasteful number, since it uses less digits than its factorization.

4755879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 4755879360 is about 68962.8839304158. The cubic root of 4755879360 is about 1681.6809705586.

The spelling of 4755879360 in words is "four billion, seven hundred fifty-five million, eight hundred seventy-nine thousand, three hundred sixty".