4986564768 has 240 divisors, whose sum is σ = 15260636160. Its totient is φ = 1595635200.

The previous prime is 4986564757. The next prime is 4986564787. The reversal of 4986564768 is 8674656894.

4986564768 is a `hidden beast` number, since 4 + 9 + 8 + 6 + 564 + 7 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18400473 + ... + 18400743.

It is an arithmetic number, because the mean of its divisors is an integer number (63585984).

Almost surely, 2^4986564768 is an apocalyptic number.

4986564768 is a gapful number since it is divisible by the number (48) 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 4986564768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7630318080).

4986564768 is an abundant number, since it is smaller than the sum of its proper divisors (10274071392).

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

4986564768 is a wasteful number, since it uses less digits than its factorization.

4986564768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 536 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The square root of 4986564768 is about 70615.6127779119. The cubic root of 4986564768 is about 1708.4429778991.

The spelling of 4986564768 in words is "four billion, nine hundred eighty-six million, five hundred sixty-four thousand, seven hundred sixty-eight".