61668708681216 has 960 divisors, whose sum is σ = 210713104926720. Its totient is φ = 15674413547520.

The previous prime is 61668708681199. The next prime is 61668708681221. The reversal of 61668708681216 is 61218680786616.

It is a super-2 number, since 2×61668708681216² (a number of 28 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 55909980121 + ... + 55909981223.

It is an arithmetic number, because the mean of its divisors is an integer number (219492817632).

Almost surely, 2^{61668708681216} 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 61668708681216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105356552463360).

61668708681216 is an abundant number, since it is smaller than the sum of its proper divisors (149044396245504).

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

61668708681216 is a wasteful number, since it uses less digits than its factorization.

61668708681216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 66.

The spelling of 61668708681216 in words is "sixty-one trillion, six hundred sixty-eight billion, seven hundred eight million, six hundred eighty-one thousand, two hundred sixteen".