167868600768 has 672 divisors, whose sum is σ = 575580418560. Its totient is φ = 47839334400.

The previous prime is 167868600761. The next prime is 167868600787. The reversal of 167868600768 is 867006868761.

167868600768 is a `hidden beast` number, since 16 + 7 + 8 + 6 + 8 + 600 + 7 + 6 + 8 = 666.

167868600768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167868600761) by changing a digit.

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, 322204348 + ... + 322204868.

It is an arithmetic number, because the mean of its divisors is an integer number (856518480).

Almost surely, 2^167868600768 is an apocalyptic number.

167868600768 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 167868600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287790209280).

167868600768 is an abundant number, since it is smaller than the sum of its proper divisors (407711817792).

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

167868600768 is a wasteful number, since it uses less digits than its factorization.

167868600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 167868600768 in words is "one hundred sixty-seven billion, eight hundred sixty-eight million, six hundred thousand, seven hundred sixty-eight".