68771597405760 has 1344 divisors, whose sum is σ = 248426579681280. Its totient is φ = 17451415388160.

The previous prime is 68771597405737. The next prime is 68771597405807. The reversal of 68771597405760 is 6750479517786.

68771597405760 is a `hidden beast` number, since 6 + 8 + 7 + 7 + 1 + 5 + 9 + 7 + 40 + 576 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 261488963389 + ... + 261488963651.

It is an arithmetic number, because the mean of its divisors is an integer number (184841205120).

Almost surely, 2^{68771597405760} is an apocalyptic number.

68771597405760 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 68771597405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124213289840640).

68771597405760 is an abundant number, since it is smaller than the sum of its proper divisors (179654982275520).

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

68771597405760 is a wasteful number, since it uses less digits than its factorization.

68771597405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 622339200, while the sum is 72.

The spelling of 68771597405760 in words is "sixty-eight trillion, seven hundred seventy-one billion, five hundred ninety-seven million, four hundred five thousand, seven hundred sixty".