4879169167680 has 168 divisors, whose sum is σ = 17769503772072. Its totient is φ = 1224575778816.

The previous prime is 4879169167679. The next prime is 4879169167687. The reversal of 4879169167680 is 867619619784.

4879169167680 is a `hidden beast` number, since 487 + 9 + 1 + 6 + 9 + 1 + 67 + 6 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1045154539584 + 3834014628096 = 1022328^2 + 1958064^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4879169167599 and 4879169167608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4879169167687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49779157 + ... + 49877076.

Almost surely, 2^{4879169167680} is an apocalyptic number.

4879169167680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4879169167680 is an abundant number, since it is smaller than the sum of its proper divisors (12890334604392).

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

4879169167680 is a wasteful number, since it uses less digits than its factorization.

4879169167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99656273 (or 99656260 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 4879169167680 in words is "four trillion, eight hundred seventy-nine billion, one hundred sixty-nine million, one hundred sixty-seven thousand, six hundred eighty".