168382628064 has 192 divisors, whose sum is σ = 563609249280. Its totient is φ = 47909283840.

The previous prime is 168382628059. The next prime is 168382628101. The reversal of 168382628064 is 460826283861.

168382628064 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 8 + 2 + 628 + 0 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 168382628064.

It is a congruent number.

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, 1399807 + ... + 1515329.

It is an arithmetic number, because the mean of its divisors is an integer number (2935464840).

Almost surely, 2^168382628064 is an apocalyptic number.

168382628064 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 168382628064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281804624640).

168382628064 is an abundant number, since it is smaller than the sum of its proper divisors (395226621216).

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

168382628064 is a wasteful number, since it uses less digits than its factorization.

168382628064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115790 (or 115776 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 168382628064 in words is "one hundred sixty-eight billion, three hundred eighty-two million, six hundred twenty-eight thousand, sixty-four".