68418808416 has 288 divisors, whose sum is σ = 234427834368. Its totient is φ = 18514344960.

The previous prime is 68418808391. The next prime is 68418808429. The reversal of 68418808416 is 61480881486.

It is a happy number.

68418808416 is a `hidden beast` number, since 68 + 418 + 80 + 84 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×68418808416² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2925666 + ... + 2948958.

It is an arithmetic number, because the mean of its divisors is an integer number (813985536).

Almost surely, 2^68418808416 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 68418808416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117213917184).

68418808416 is an abundant number, since it is smaller than the sum of its proper divisors (166009025952).

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

68418808416 is a wasteful number, since it uses less digits than its factorization.

68418808416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23394 (or 23383 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 68418808416 in words is "sixty-eight billion, four hundred eighteen million, eight hundred eight thousand, four hundred sixteen".