8160417792 has 192 divisors, whose sum is σ = 25598008800. Its totient is φ = 2559836160.

The previous prime is 8160417737. The next prime is 8160417829. The reversal of 8160417792 is 2977140618.

It is a happy number.

8160417792 is a `hidden beast` number, since 8 + 160 + 417 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 935692 + ... + 944372.

Almost surely, 2^8160417792 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 8160417792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799004400).

8160417792 is an abundant number, since it is smaller than the sum of its proper divisors (17437591008).

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

8160417792 is a wasteful number, since it uses less digits than its factorization.

8160417792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8729 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 8160417792 is about 90335.0308130794. The cubic root of 8160417792 is about 2013.2797779223.

The spelling of 8160417792 in words is "eight billion, one hundred sixty million, four hundred seventeen thousand, seven hundred ninety-two".