68761641738528 has 288 divisors, whose sum is σ = 212958210628800. Its totient is φ = 20962681141248.

The previous prime is 68761641738497. The next prime is 68761641738533. The reversal of 68761641738528 is 82583714616786.

68761641738528 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 1 + 64 + 1 + 7 + 38 + 528 = 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 (72).

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, 1434991626 + ... + 1435039542.

It is an arithmetic number, because the mean of its divisors is an integer number (739438231350).

Almost surely, 2^{68761641738528} 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 68761641738528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106479105314400).

68761641738528 is an abundant number, since it is smaller than the sum of its proper divisors (144196568890272).

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

68761641738528 is a wasteful number, since it uses less digits than its factorization.

68761641738528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57024 (or 57013 counting only the distinct ones).

The product of its digits is 650280960, while the sum is 72.

The spelling of 68761641738528 in words is "sixty-eight trillion, seven hundred sixty-one billion, six hundred forty-one million, seven hundred thirty-eight thousand, five hundred twenty-eight".