68407538683224 has 128 divisors (see below), whose sum is σ = 186083069921280. Its totient is φ = 20830707532800.

The previous prime is 68407538683171. The next prime is 68407538683243. The reversal of 68407538683224 is 42238683570486.

It is a Cunningham number, because it is equal to 8270885²-1.

It is a super-3 number, since 3×68407538683224³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32049684 + ... + 34117404.

It is an arithmetic number, because the mean of its divisors is an integer number (1453773983760).

Almost surely, 2^{68407538683224} 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 68407538683224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93041534960640).

68407538683224 is an abundant number, since it is smaller than the sum of its proper divisors (117675531238056).

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

68407538683224 is a wasteful number, since it uses less digits than its factorization.

68407538683224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068841 (or 2068837 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 66.

The spelling of 68407538683224 in words is "sixty-eight trillion, four hundred seven billion, five hundred thirty-eight million, six hundred eighty-three thousand, two hundred twenty-four".