68882368800 has 576 divisors, whose sum is σ = 270522685440. Its totient is φ = 14883348480.

The previous prime is 68882368787. The next prime is 68882368811. The reversal of 68882368800 is 886328886.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34388599 + ... + 34390601.

It is an arithmetic number, because the mean of its divisors is an integer number (469657440).

Almost surely, 2^68882368800 is an apocalyptic number.

68882368800 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 68882368800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135261342720).

68882368800 is an abundant number, since it is smaller than the sum of its proper divisors (201640316640).

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

68882368800 is a wasteful number, since it uses less digits than its factorization.

68882368800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 57.

The spelling of 68882368800 in words is "sixty-eight billion, eight hundred eighty-two million, three hundred sixty-eight thousand, eight hundred".