68910589440 has 1440 divisors, whose sum is σ = 314375592960. Its totient is φ = 13779763200.

The previous prime is 68910589367. The next prime is 68910589441. The reversal of 68910589440 is 4498501986.

68910589440 is a `hidden beast` number, since 6 + 8 + 9 + 10 + 589 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68910589441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 384975271 + ... + 384975449.

It is an arithmetic number, because the mean of its divisors is an integer number (218316384).

Almost surely, 2^68910589440 is an apocalyptic number.

68910589440 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 68910589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157187796480).

68910589440 is an abundant number, since it is smaller than the sum of its proper divisors (245465003520).

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

68910589440 is a wasteful number, since it uses less digits than its factorization.

68910589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 68910589440 in words is "sixty-eight billion, nine hundred ten million, five hundred eighty-nine thousand, four hundred forty".