68824442880 has 576 divisors, whose sum is σ = 262079737920. Its totient is φ = 17262968832.

The previous prime is 68824442873. The next prime is 68824442927. The reversal of 68824442880 is 8824442886.

68824442880 is a `hidden beast` number, since 68 + 82 + 4 + 4 + 428 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42300627 + ... + 42302253.

It is an arithmetic number, because the mean of its divisors is an integer number (454999545).

Almost surely, 2^68824442880 is an apocalyptic number.

68824442880 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 68824442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131039868960).

68824442880 is an abundant number, since it is smaller than the sum of its proper divisors (193255295040).

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

68824442880 is a wasteful number, since it uses less digits than its factorization.

68824442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1654 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 68824442880 in words is "sixty-eight billion, eight hundred twenty-four million, four hundred forty-two thousand, eight hundred eighty".