8068177152 has 432 divisors, whose sum is σ = 29015969920. Its totient is φ = 2165833728.

The previous prime is 8068177141. The next prime is 8068177177. The reversal of 8068177152 is 2517718608.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×8068177152² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8068177098 and 8068177107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13982688 + ... + 13983264.

Almost surely, 2^8068177152 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 8068177152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14507984960).

8068177152 is an abundant number, since it is smaller than the sum of its proper divisors (20947792768).

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

8068177152 is a wasteful number, since it uses less digits than its factorization.

8068177152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The square root of 8068177152 is about 89823.0324137412. The cubic root of 8068177152 is about 2005.6653659943.

The spelling of 8068177152 in words is "eight billion, sixty-eight million, one hundred seventy-seven thousand, one hundred fifty-two".