68002618176900 has 243 divisors, whose sum is σ = 234298690321423. Its totient is φ = 16484823484800.

The previous prime is 68002618176881. The next prime is 68002618176937. The reversal of 68002618176900 is 967181620086.

The square root of 68002618176900 is 8246370.

It is a perfect power (a square), and thus also a powerful number.

68002618176900 is a `hidden beast` number, since 6 + 8 + 0 + 0 + 2 + 618 + 17 + 6 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20437650723204 + 47564967453696 = 4520802^2 + 6896736^2 .

It is a super-2 number, since 2×68002618176900² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2721289606 + ... + 2721314594.

Almost surely, 2^{68002618176900} is an apocalyptic number.

68002618176900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

68002618176900 is the 8246370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68002618176900

68002618176900 is an abundant number, since it is smaller than the sum of its proper divisors (166296072144523).

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

68002618176900 is a wasteful number, since it uses less digits than its factorization.

68002618176900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50020 (or 25010 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

Adding to 68002618176900 its reverse (967181620086), we get a palindrome (68969799796986).

The spelling of 68002618176900 in words is "sixty-eight trillion, two billion, six hundred eighteen million, one hundred seventy-six thousand, nine hundred".