4968557568 has 264 divisors, whose sum is σ = 15629385408. Its totient is φ = 1511129088.

The previous prime is 4968557567. The next prime is 4968557603. The reversal of 4968557568 is 8657558694.

4968557568 is a `hidden beast` number, since 4 + 9 + 68 + 5 + 5 + 7 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (4968557567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13538121 + ... + 13538487.

Almost surely, 2^4968557568 is an apocalyptic number.

4968557568 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 4968557568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7814692704).

4968557568 is an abundant number, since it is smaller than the sum of its proper divisors (10660827840).

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

4968557568 is a wasteful number, since it uses less digits than its factorization.

4968557568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 498 counting only the distinct ones).

The product of its digits is 72576000, while the sum is 63.

The square root of 4968557568 is about 70487.9959141980. The cubic root of 4968557568 is about 1706.3840200328.

The spelling of 4968557568 in words is "four billion, nine hundred sixty-eight million, five hundred fifty-seven thousand, five hundred sixty-eight".