4967717760 has 384 divisors, whose sum is σ = 18147317760. Its totient is φ = 1250242560.

The previous prime is 4967717753. The next prime is 4967717779. The reversal of 4967717760 is 677177694.

4967717760 is a `hidden beast` number, since 496 + 77 + 17 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4967717697 and 4967717706.

It is a congruent number.

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, 7677757 + ... + 7678403.

It is an arithmetic number, because the mean of its divisors is an integer number (47258640).

Almost surely, 2^4967717760 is an apocalyptic number.

4967717760 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 4967717760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9073658880).

4967717760 is an abundant number, since it is smaller than the sum of its proper divisors (13179600000).

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

4967717760 is a wasteful number, since it uses less digits than its factorization.

4967717760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The square root of 4967717760 is about 70482.0385630268. The cubic root of 4967717760 is about 1706.2878743756.

The spelling of 4967717760 in words is "four billion, nine hundred sixty-seven million, seven hundred seventeen thousand, seven hundred sixty".