68669117337600 has 1404 divisors, whose sum is σ = 279570138134196. Its totient is φ = 16012518359040.

The previous prime is 68669117337599. The next prime is 68669117337607. The reversal of 68669117337600 is 673371196686.

68669117337600 is a `hidden beast` number, since 6 + 8 + 6 + 6 + 9 + 1 + 17 + 3 + 3 + 7 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 155223392256 + 68513893945344 = 393984^2 + 8277312^2 .

It is not an unprimeable number, because it can be changed into a prime (68669117337607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4325060862 + ... + 4325076738.

Almost surely, 2^{68669117337600} is an apocalyptic number.

68669117337600 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 68669117337600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139785069067098).

68669117337600 is an abundant number, since it is smaller than the sum of its proper divisors (210901020796596).

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

68669117337600 is a wasteful number, since it uses less digits than its factorization.

68669117337600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15968 (or 15919 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 68669117337600 in words is "sixty-eight trillion, six hundred sixty-nine billion, one hundred seventeen million, three hundred thirty-seven thousand, six hundred".