168348727680 has 384 divisors, whose sum is σ = 626325475680. Its totient is φ = 38350061568.

The previous prime is 168348727583. The next prime is 168348727733. The reversal of 168348727680 is 86727843861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×168348727680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29444182 + ... + 29449898.

Almost surely, 2^168348727680 is an apocalyptic number.

168348727680 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 168348727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313162737840).

168348727680 is an abundant number, since it is smaller than the sum of its proper divisors (457976748000).

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

168348727680 is a wasteful number, since it uses less digits than its factorization.

168348727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 168348727680 in words is "one hundred sixty-eight billion, three hundred forty-eight million, seven hundred twenty-seven thousand, six hundred eighty".