4977188568 has 192 divisors, whose sum is σ = 15331680000. Its totient is φ = 1444826880.

The previous prime is 4977188561. The next prime is 4977188581. The reversal of 4977188568 is 8658817794.

4977188568 is a `hidden beast` number, since 497 + 7 + 1 + 8 + 85 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4977188561) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3191773 + ... + 3193331.

It is an arithmetic number, because the mean of its divisors is an integer number (79852500).

Almost surely, 2^4977188568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4977188568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7665840000).

4977188568 is an abundant number, since it is smaller than the sum of its proper divisors (10354491432).

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

4977188568 is a wasteful number, since it uses less digits than its factorization.

4977188568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1743 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 63.

The square root of 4977188568 is about 70549.1925396740. The cubic root of 4977188568 is about 1707.3715152627.

The spelling of 4977188568 in words is "four billion, nine hundred seventy-seven million, one hundred eighty-eight thousand, five hundred sixty-eight".