68027552769600 has 252 divisors, whose sum is σ = 242331799618896. Its totient is φ = 18099729423360.

The previous prime is 68027552769587. The next prime is 68027552769623. The reversal of 68027552769600 is 696725572086.

It is a happy number.

68027552769600 is a `hidden beast` number, since 6 + 8 + 0 + 2 + 7 + 552 + 76 + 9 + 6 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1047219 + ... + 11711181.

Almost surely, 2^{68027552769600} is an apocalyptic number.

68027552769600 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 68027552769600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121165899809448).

68027552769600 is an abundant number, since it is smaller than the sum of its proper divisors (174304246849296).

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

68027552769600 is a wasteful number, since it uses less digits than its factorization.

68027552769600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10664434 (or 10664416 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 68027552769600 in words is "sixty-eight trillion, twenty-seven billion, five hundred fifty-two million, seven hundred sixty-nine thousand, six hundred".