68165435520 has 1024 divisors, whose sum is σ = 302032281600. Its totient is φ = 14145601536.

The previous prime is 68165435489. The next prime is 68165435521. The reversal of 68165435520 is 2553456186.

68165435520 is a `hidden beast` number, since 6 + 8 + 165 + 435 + 52 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (68165435521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 105355837 + ... + 105356483.

It is an arithmetic number, because the mean of its divisors is an integer number (294953400).

Almost surely, 2^68165435520 is an apocalyptic number.

68165435520 is a gapful number since it is divisible by the number (60) 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 68165435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151016140800).

68165435520 is an abundant number, since it is smaller than the sum of its proper divisors (233866846080).

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

68165435520 is a wasteful number, since it uses less digits than its factorization.

68165435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 68165435520 in words is "sixty-eight billion, one hundred sixty-five million, four hundred thirty-five thousand, five hundred twenty".