68405575680 has 900 divisors, whose sum is σ = 269908201332. Its totient is φ = 16562257920.

The previous prime is 68405575673. The next prime is 68405575699. The reversal of 68405575680 is 8657550486.

68405575680 is a `hidden beast` number, since 6 + 8 + 4 + 0 + 5 + 575 + 68 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32711786496 + 35693789184 = 180864^2 + 188928^2 .

It is a super-2 number, since 2×68405575680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1121402850 + ... + 1121402910.

Almost surely, 2^68405575680 is an apocalyptic number.

68405575680 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 68405575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134954100666).

68405575680 is an abundant number, since it is smaller than the sum of its proper divisors (201502625652).

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

68405575680 is an equidigital number, since it uses as much as digits as its factorization.

68405575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 68405575680 in words is "sixty-eight billion, four hundred five million, five hundred seventy-five thousand, six hundred eighty".