7935840129168 has 400 divisors, whose sum is σ = 27750157269120. Its totient is φ = 2138817042432.

The previous prime is 7935840129127. The next prime is 7935840129253. The reversal of 7935840129168 is 8619210485397.

7935840129168 is a `hidden beast` number, since 7 + 93 + 58 + 401 + 2 + 91 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 40062946 + ... + 40260542.

It is a 1-persistent number, because it is pandigital, but 2⋅7935840129168 = 15871680258336 is not.

Almost surely, 2^{7935840129168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7935840129168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13875078634560).

7935840129168 is an abundant number, since it is smaller than the sum of its proper divisors (19814317139952).

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

7935840129168 is a wasteful number, since it uses less digits than its factorization.

7935840129168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197876 (or 197861 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 7935840129168 in words is "seven trillion, nine hundred thirty-five billion, eight hundred forty million, one hundred twenty-nine thousand, one hundred sixty-eight".