10479675168 has 144 divisors (see below), whose sum is σ = 31320184896. Its totient is φ = 3319626240.

The previous prime is 10479675121. The next prime is 10479675191. The reversal of 10479675168 is 86157697401.

10479675168 is a `hidden beast` number, since 1 + 0 + 479 + 6 + 7 + 5 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×10479675168³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 446773 + ... + 469643.

It is an arithmetic number, because the mean of its divisors is an integer number (217501284).

Almost surely, 2^10479675168 is an apocalyptic number.

10479675168 is a gapful number since it is divisible by the number (18) 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 10479675168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660092448).

10479675168 is an abundant number, since it is smaller than the sum of its proper divisors (20840509728).

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

10479675168 is a wasteful number, since it uses less digits than its factorization.

10479675168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22967 (or 22956 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 10479675168 in words is "ten billion, four hundred seventy-nine million, six hundred seventy-five thousand, one hundred sixty-eight".