8168971668480 has 1584 divisors, whose sum is σ = 34884788230656. Its totient is φ = 1826825011200.

The previous prime is 8168971668461. The next prime is 8168971668493. The reversal of 8168971668480 is 848661798618.

8168971668480 is a `hidden beast` number, since 8 + 1 + 6 + 89 + 7 + 1 + 6 + 68 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8168971668399 and 8168971668408.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2865299055 + ... + 2865301905.

Almost surely, 2^{8168971668480} is an apocalyptic number.

8168971668480 is a gapful number since it is divisible by the number (80) 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 8168971668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17442394115328).

8168971668480 is an abundant number, since it is smaller than the sum of its proper divisors (26715816562176).

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

8168971668480 is a wasteful number, since it uses less digits than its factorization.

8168971668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2952 (or 2915 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 8168971668480 in words is "eight trillion, one hundred sixty-eight billion, nine hundred seventy-one million, six hundred sixty-eight thousand, four hundred eighty".