68622082200 has 672 divisors, whose sum is σ = 277526165760. Its totient is φ = 15447801600.

The previous prime is 68622082189. The next prime is 68622082223. The reversal of 68622082200 is 228022686.

68622082200 is a `hidden beast` number, since 6 + 8 + 622 + 0 + 8 + 2 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 72462127 + ... + 72463073.

Almost surely, 2^68622082200 is an apocalyptic number.

68622082200 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 68622082200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138763082880).

68622082200 is an abundant number, since it is smaller than the sum of its proper divisors (208904083560).

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

68622082200 is a wasteful number, since it uses less digits than its factorization.

68622082200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 68622082200 in words is "sixty-eight billion, six hundred twenty-two million, eighty-two thousand, two hundred".