4917749760 has 1080 divisors, whose sum is σ = 22538085570. Its totient is φ = 1021870080.

The previous prime is 4917749719. The next prime is 4917749777. The reversal of 4917749760 is 679477194.

4917749760 is a `hidden beast` number, since 4 + 91 + 7 + 7 + 497 + 60 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4425974784 + 491774976 = 66528^2 + 22176^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a junction number, because it is equal to n+sod(n) for n = 4917749697 and 4917749706.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 447068155 + ... + 447068165.

Almost surely, 2^4917749760 is an apocalyptic number.

4917749760 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 4917749760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11269042785).

4917749760 is an abundant number, since it is smaller than the sum of its proper divisors (17620335810).

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

4917749760 is a wasteful number, since it uses less digits than its factorization.

4917749760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The square root of 4917749760 is about 70126.6693918940. The cubic root of 4917749760 is about 1700.5476620731.

The spelling of 4917749760 in words is "four billion, nine hundred seventeen million, seven hundred forty-nine thousand, seven hundred sixty".