68338427040 has 288 divisors, whose sum is σ = 252960140160. Its totient is φ = 16700110848.

The previous prime is 68338426987. The next prime is 68338427051. The reversal of 68338427040 is 4072483386.

68338427040 is a `hidden beast` number, since 6 + 8 + 338 + 4 + 270 + 40 = 666.

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

It is a super-2 number, since 2×68338427040² (a number of 22 digits) contains 22 as substring.

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

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, 2588949 + ... + 2615211.

It is an arithmetic number, because the mean of its divisors is an integer number (878333820).

Almost surely, 2^68338427040 is an apocalyptic number.

68338427040 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 68338427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126480070080).

68338427040 is an abundant number, since it is smaller than the sum of its proper divisors (184621713120).

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

68338427040 is a wasteful number, since it uses less digits than its factorization.

68338427040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26436 (or 26425 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 68338427040 in words is "sixty-eight billion, three hundred thirty-eight million, four hundred twenty-seven thousand, forty".