68168210880 has 448 divisors, whose sum is σ = 270415438848. Its totient is φ = 14134640640.

The previous prime is 68168210867. The next prime is 68168210899. The reversal of 68168210880 is 8801286186.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 57139564 + ... + 57140756.

Almost surely, 2^68168210880 is an apocalyptic number.

68168210880 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 68168210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135207719424).

68168210880 is an abundant number, since it is smaller than the sum of its proper divisors (202247227968).

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

68168210880 is a wasteful number, since it uses less digits than its factorization.

68168210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The spelling of 68168210880 in words is "sixty-eight billion, one hundred sixty-eight million, two hundred ten thousand, eight hundred eighty".