68548982261760 has 6144 divisors, whose sum is σ = 348079140864000. Its totient is φ = 12435282984960.

The previous prime is 68548982261719. The next prime is 68548982261803. The reversal of 68548982261760 is 6716228984586.

68548982261760 is a `hidden beast` number, since 6 + 8 + 5 + 489 + 8 + 22 + 61 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

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 511 ways as a sum of consecutive naturals, for example, 770213283796 + ... + 770213283884.

It is an arithmetic number, because the mean of its divisors is an integer number (56653506000).

Almost surely, 2^{68548982261760} is an apocalyptic number.

68548982261760 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 68548982261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174039570432000).

68548982261760 is an abundant number, since it is smaller than the sum of its proper divisors (279530158602240).

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

68548982261760 is a wasteful number, since it uses less digits than its factorization.

68548982261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 68548982261760 in words is "sixty-eight trillion, five hundred forty-eight billion, nine hundred eighty-two million, two hundred sixty-one thousand, seven hundred sixty".