4967798668560 has 1600 divisors, whose sum is σ = 21922627195392. Its totient is φ = 1018734133248.

The previous prime is 4967798668549. The next prime is 4967798668577. The reversal of 4967798668560 is 658668977694.

4967798668560 is a `hidden beast` number, since 49 + 6 + 7 + 7 + 9 + 8 + 6 + 6 + 8 + 560 = 666.

It is a super-2 number, since 2×4967798668560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 4967798668560.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5301812412 + ... + 5301813348.

Almost surely, 2^{4967798668560} is an apocalyptic number.

4967798668560 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 4967798668560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10961313597696).

4967798668560 is an abundant number, since it is smaller than the sum of its proper divisors (16954828526832).

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

4967798668560 is an equidigital number, since it uses as much as digits as its factorization.

4967798668560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 6584094720, while the sum is 81.

The spelling of 4967798668560 in words is "four trillion, nine hundred sixty-seven billion, seven hundred ninety-eight million, six hundred sixty-eight thousand, five hundred sixty".