4997105568 has 288 divisors, whose sum is σ = 18040579200. Its totient is φ = 1317648384.

The previous prime is 4997105521. The next prime is 4997105651. The reversal of 4997105568 is 8655017994.

4997105568 is a `hidden beast` number, since 4 + 9 + 9 + 71 + 0 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1019668 + ... + 1024556.

It is an arithmetic number, because the mean of its divisors is an integer number (62640900).

Almost surely, 2^4997105568 is an apocalyptic number.

4997105568 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 4997105568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9020289600).

4997105568 is an abundant number, since it is smaller than the sum of its proper divisors (13043473632).

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

4997105568 is a wasteful number, since it uses less digits than its factorization.

4997105568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4941 (or 4914 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 4997105568 is about 70690.2084308711. The cubic root of 4997105568 is about 1709.6459223797.

The spelling of 4997105568 in words is "four billion, nine hundred ninety-seven million, one hundred five thousand, five hundred sixty-eight".