4162633579872 has 576 divisors, whose sum is σ = 13663774837440. Its totient is φ = 1193862758400.

The previous prime is 4162633579837. The next prime is 4162633579877. The reversal of 4162633579872 is 2789753362614.

It is a happy number.

4162633579872 is a `hidden beast` number, since 4 + 1 + 6 + 26 + 33 + 579 + 8 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4162633579877) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300739672 + ... + 300753512.

It is an arithmetic number, because the mean of its divisors is an integer number (23721831315).

Almost surely, 2^{4162633579872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4162633579872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831887418720).

4162633579872 is an abundant number, since it is smaller than the sum of its proper divisors (9501141257568).

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

4162633579872 is a wasteful number, since it uses less digits than its factorization.

4162633579872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14007 (or 13996 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 4162633579872 in words is "four trillion, one hundred sixty-two billion, six hundred thirty-three million, five hundred seventy-nine thousand, eight hundred seventy-two".