168774835680 has 384 divisors, whose sum is σ = 666639590400. Its totient is φ = 39503923200.

The previous prime is 168774835679. The next prime is 168774835703. The reversal of 168774835680 is 86538477861.

168774835680 is a `hidden beast` number, since 1 + 6 + 8 + 77 + 483 + 5 + 6 + 80 = 666.

It is a super-2 number, since 2×168774835680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316845 + ... + 1439315.

It is an arithmetic number, because the mean of its divisors is an integer number (1736040600).

Almost surely, 2^168774835680 is an apocalyptic number.

168774835680 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 168774835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333319795200).

168774835680 is an abundant number, since it is smaller than the sum of its proper divisors (497864754720).

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

168774835680 is a wasteful number, since it uses less digits than its factorization.

168774835680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122535 (or 122521 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 168774835680 in words is "one hundred sixty-eight billion, seven hundred seventy-four million, eight hundred thirty-five thousand, six hundred eighty".