4917756560 has 80 divisors (see below), whose sum is σ = 11675919360. Its totient is φ = 1925752320.

The previous prime is 4917756511. The next prime is 4917756563. The reversal of 4917756560 is 656577194.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4917756499 and 4917756508.

It is not an unprimeable number, because it can be changed into a prime (4917756563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1085981 + ... + 1090499.

It is an arithmetic number, because the mean of its divisors is an integer number (145948992).

Almost surely, 2^4917756560 is an apocalyptic number.

4917756560 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 4917756560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837959680).

4917756560 is an abundant number, since it is smaller than the sum of its proper divisors (6758162800).

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

4917756560 is a wasteful number, since it uses less digits than its factorization.

4917756560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4816 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 50.

The square root of 4917756560 is about 70126.7178755715. The cubic root of 4917756560 is about 1700.5484458814.

The spelling of 4917756560 in words is "four billion, nine hundred seventeen million, seven hundred fifty-six thousand, five hundred sixty".