68448825768960 has 2112 divisors, whose sum is σ = 297268764549120. Its totient is φ = 14178566799360.

The previous prime is 68448825768937. The next prime is 68448825768989. The reversal of 68448825768960 is 6986752884486.

68448825768960 is a `hidden beast` number, since 6 + 8 + 4 + 488 + 2 + 5 + 76 + 8 + 9 + 60 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 68448825768960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95200035481 + ... + 95200036199.

Almost surely, 2^{68448825768960} is an apocalyptic number.

68448825768960 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 68448825768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148634382274560).

68448825768960 is an abundant number, since it is smaller than the sum of its proper divisors (228819938780160).

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

68448825768960 is a wasteful number, since it uses less digits than its factorization.

68448825768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 8918138880, while the sum is 81.

The spelling of 68448825768960 in words is "sixty-eight trillion, four hundred forty-eight billion, eight hundred twenty-five million, seven hundred sixty-eight thousand, nine hundred sixty".