68211386880 has 960 divisors, whose sum is σ = 278370183168. Its totient is φ = 14120386560.

The previous prime is 68211386851. The next prime is 68211386927. The reversal of 68211386880 is 8868311286.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×68211386880² (a number of 22 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 357127585 + ... + 357127775.

Almost surely, 2^68211386880 is an apocalyptic number.

68211386880 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 68211386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139185091584).

68211386880 is an abundant number, since it is smaller than the sum of its proper divisors (210158796288).

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

68211386880 is a wasteful number, since it uses less digits than its factorization.

68211386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 51.

The spelling of 68211386880 in words is "sixty-eight billion, two hundred eleven million, three hundred eighty-six thousand, eight hundred eighty".