68447306880 has 384 divisors, whose sum is σ = 247548712320. Its totient is φ = 18071175168.

The previous prime is 68447306861. The next prime is 68447306909. The reversal of 68447306880 is 8860374486.

68447306880 is a `hidden beast` number, since 68 + 447 + 3 + 0 + 68 + 80 = 666.

68447306880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 16016424 + ... + 16020696.

It is an arithmetic number, because the mean of its divisors is an integer number (644658105).

Almost surely, 2^68447306880 is an apocalyptic number.

68447306880 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 68447306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123774356160).

68447306880 is an abundant number, since it is smaller than the sum of its proper divisors (179101405440).

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

68447306880 is a wasteful number, since it uses less digits than its factorization.

68447306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 68447306880 in words is "sixty-eight billion, four hundred forty-seven million, three hundred six thousand, eight hundred eighty".