168667271648640 has 192 divisors, whose sum is σ = 582683887431360. Its totient is φ = 44958268809216.

The previous prime is 168667271648599. The next prime is 168667271648641. The reversal of 168667271648640 is 46846172766861.

168667271648640 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 6 + 72 + 71 + 6 + 486 + 4 + 0 = 666.

168667271648640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×168667271648640² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168667271648641) 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, 6771172 + ... + 19575068.

It is an arithmetic number, because the mean of its divisors is an integer number (3034811913705).

Almost surely, 2^{168667271648640} is an apocalyptic number.

168667271648640 is a gapful number since it is divisible by the number (10) 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 168667271648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291341943715680).

168667271648640 is an abundant number, since it is smaller than the sum of its proper divisors (414016615782720).

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

168667271648640 is a wasteful number, since it uses less digits than its factorization.

168667271648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12806209 (or 12806194 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 168667271648640 in words is "one hundred sixty-eight trillion, six hundred sixty-seven billion, two hundred seventy-one million, six hundred forty-eight thousand, six hundred forty".