4160679763968 has 1344 divisors, whose sum is σ = 15754857431040. Its totient is φ = 1027369598976.

The previous prime is 4160679763937. The next prime is 4160679763997. The reversal of 4160679763968 is 8693679760614.

4160679763968 is a `hidden beast` number, since 4 + 1 + 606 + 7 + 9 + 7 + 6 + 3 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×4160679763968² (a number of 26 digits) contains 22 as substring.

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 = 4160679763896 and 4160679763905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16189415296 + ... + 16189415552.

It is an arithmetic number, because the mean of its divisors is an integer number (11722364160).

Almost surely, 2^{4160679763968} is an apocalyptic number.

4160679763968 is a gapful number since it is divisible by the number (48) 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 4160679763968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7877428715520).

4160679763968 is an abundant number, since it is smaller than the sum of its proper divisors (11594177667072).

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

4160679763968 is a wasteful number, since it uses less digits than its factorization.

4160679763968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 4160679763968 in words is "four trillion, one hundred sixty billion, six hundred seventy-nine million, seven hundred sixty-three thousand, nine hundred sixty-eight".