68573728115424 has 288 divisors, whose sum is σ = 235985298284736. Its totient is φ = 18439134658560.

The previous prime is 68573728115411. The next prime is 68573728115467. The reversal of 68573728115424 is 42451182737586.

68573728115424 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 3 + 7 + 2 + 81 + 1 + 542 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1146745494 + ... + 1146805290.

It is an arithmetic number, because the mean of its divisors is an integer number (819393396822).

Almost surely, 2^{68573728115424} 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 68573728115424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117992649142368).

68573728115424 is an abundant number, since it is smaller than the sum of its proper divisors (167411570169312).

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

68573728115424 is a wasteful number, since it uses less digits than its factorization.

68573728115424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93298 (or 93287 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 68573728115424 in words is "sixty-eight trillion, five hundred seventy-three billion, seven hundred twenty-eight million, one hundred fifteen thousand, four hundred twenty-four".