68765427503424 has 336 divisors, whose sum is σ = 220409804422080. Its totient is φ = 21185750568960.

The previous prime is 68765427503351. The next prime is 68765427503459. The reversal of 68765427503424 is 42430572456786.

68765427503424 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 542 + 7 + 50 + 34 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9276982 + ... + 14953034.

It is an arithmetic number, because the mean of its divisors is an integer number (655981560780).

Almost surely, 2^{68765427503424} is an apocalyptic number.

68765427503424 is a gapful number since it is divisible by the number (64) 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 68765427503424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110204902211040).

68765427503424 is an abundant number, since it is smaller than the sum of its proper divisors (151644376918656).

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

68765427503424 is a wasteful number, since it uses less digits than its factorization.

68765427503424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676140 (or 5676118 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 63.

The spelling of 68765427503424 in words is "sixty-eight trillion, seven hundred sixty-five billion, four hundred twenty-seven million, five hundred three thousand, four hundred twenty-four".