68241738600 has 576 divisors, whose sum is σ = 281025763200. Its totient is φ = 15058068480.

The previous prime is 68241738511. The next prime is 68241738619. The reversal of 68241738600 is 683714286.

68241738600 is a `hidden beast` number, since 6 + 8 + 2 + 4 + 1 + 7 + 38 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 9862342 + ... + 9869258.

It is an arithmetic number, because the mean of its divisors is an integer number (487891950).

Almost surely, 2^68241738600 is an apocalyptic number.

68241738600 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 68241738600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140512881600).

68241738600 is an abundant number, since it is smaller than the sum of its proper divisors (212784024600).

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

68241738600 is a wasteful number, since it uses less digits than its factorization.

68241738600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6984 (or 6963 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 68241738600 in words is "sixty-eight billion, two hundred forty-one million, seven hundred thirty-eight thousand, six hundred".