168705772704 has 192 divisors, whose sum is σ = 576069338880. Its totient is φ = 47025930240.

The previous prime is 168705772687. The next prime is 168705772811. The reversal of 168705772704 is 407277507861.

168705772704 is a `hidden beast` number, since 1 + 68 + 7 + 0 + 577 + 2 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×168705772704² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92209 + ... + 588144.

It is an arithmetic number, because the mean of its divisors is an integer number (3000361140).

Almost surely, 2^168705772704 is an apocalyptic number.

168705772704 is a gapful number since it is divisible by the number (14) 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 168705772704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288034669440).

168705772704 is an abundant number, since it is smaller than the sum of its proper divisors (407363566176).

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

168705772704 is a wasteful number, since it uses less digits than its factorization.

168705772704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680420 (or 680406 counting only the distinct ones).

The product of its (nonzero) digits is 4609920, while the sum is 54.

The spelling of 168705772704 in words is "one hundred sixty-eight billion, seven hundred five million, seven hundred seventy-two thousand, seven hundred four".