168328857840 has 640 divisors, whose sum is σ = 652170258432. Its totient is φ = 35285237760.

The previous prime is 168328857833. The next prime is 168328857869. The reversal of 168328857840 is 48758823861.

168328857840 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 410279²-1.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 153444172 + ... + 153445268.

Almost surely, 2^168328857840 is an apocalyptic number.

168328857840 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 168328857840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326085129216).

168328857840 is an abundant number, since it is smaller than the sum of its proper divisors (483841400592).

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

168328857840 is a wasteful number, since it uses less digits than its factorization.

168328857840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 60.

The spelling of 168328857840 in words is "one hundred sixty-eight billion, three hundred twenty-eight million, eight hundred fifty-seven thousand, eight hundred forty".