68448706560 has 1008 divisors, whose sum is σ = 277012414224. Its totient is φ = 16116350976.

The previous prime is 68448706541. The next prime is 68448706567. The reversal of 68448706560 is 6560784486.

68448706560 is a `hidden beast` number, since 6 + 8 + 4 + 4 + 8 + 70 + 6 + 560 = 666.

68448706560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 68448706497 and 68448706506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68448706567) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2976030709 + ... + 2976030731.

It is an arithmetic number, because the mean of its divisors is an integer number (274813903).

Almost surely, 2^68448706560 is an apocalyptic number.

68448706560 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 68448706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138506207112).

68448706560 is an abundant number, since it is smaller than the sum of its proper divisors (208563707664).

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

68448706560 is an equidigital number, since it uses as much as digits as its factorization.

68448706560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 68448706560 in words is "sixty-eight billion, four hundred forty-eight million, seven hundred six thousand, five hundred sixty".