4160679763905 has 256 divisors, whose sum is σ = 9246437867520. Its totient is φ = 1731082752000.

The previous prime is 4160679763879. The next prime is 4160679763927. The reversal of 4160679763905 is 5093679760614.

4160679763905 is a `hidden beast` number, since 41 + 60 + 67 + 97 + 6 + 390 + 5 = 666.

It is not a de Polignac number, because 4160679763905 - 2⁷ = 4160679763777 is a prime.

It is a super-2 number, since 2×4160679763905² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 934771930 + ... + 934776380.

It is an arithmetic number, because the mean of its divisors is an integer number (36118897920).

Almost surely, 2^{4160679763905} is an apocalyptic number.

4160679763905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4160679763905 is an abundant number, since it is smaller than the sum of its proper divisors (5085758103615).

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

4160679763905 is a wasteful number, since it uses less digits than its factorization.

4160679763905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397 (or 6391 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 4160679763905 in words is "four trillion, one hundred sixty billion, six hundred seventy-nine million, seven hundred sixty-three thousand, nine hundred five".