4947698567680 has 320 divisors, whose sum is σ = 13056663248640. Its totient is φ = 1783185408000.

The previous prime is 4947698567657. The next prime is 4947698567699. The reversal of 4947698567680 is 867658967494.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×4947698567680² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4947698567680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2368452076 + ... + 2368454164.

It is an arithmetic number, because the mean of its divisors is an integer number (40802072652).

Almost surely, 2^{4947698567680} is an apocalyptic number.

4947698567680 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 4947698567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528331624320).

4947698567680 is an abundant number, since it is smaller than the sum of its proper divisors (8108964680960).

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

4947698567680 is a wasteful number, since it uses less digits than its factorization.

4947698567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 4389396480, while the sum is 79.

The spelling of 4947698567680 in words is "four trillion, nine hundred forty-seven billion, six hundred ninety-eight million, five hundred sixty-seven thousand, six hundred eighty".