168072637759488 has 1080 divisors, whose sum is σ = 612218266252320. Its totient is φ = 43490790604800.

The previous prime is 168072637759459. The next prime is 168072637759531. The reversal of 168072637759488 is 884957736270861.

168072637759488 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 7 + 2 + 63 + 7 + 75 + 9 + 488 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35095557798 + ... + 35095562586.

It is a 1-persistent number, because it is pandigital, but 2⋅168072637759488 = 336145275518976 is not.

Almost surely, 2^{168072637759488} is an apocalyptic number.

168072637759488 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 168072637759488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306109133126160).

168072637759488 is an abundant number, since it is smaller than the sum of its proper divisors (444145628492832).

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

168072637759488 is a wasteful number, since it uses less digits than its factorization.

168072637759488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 6827950080, while the sum is 81.

The spelling of 168072637759488 in words is "one hundred sixty-eight trillion, seventy-two billion, six hundred thirty-seven million, seven hundred fifty-nine thousand, four hundred eighty-eight".