68741841744900 has 405 divisors, whose sum is σ = 236756511371919. Its totient is φ = 17249670627840.

The previous prime is 68741841744889. The next prime is 68741841744913. The reversal of 68741841744900 is 944714814786.

It is a happy number.

The square root of 68741841744900 is 8291070.

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

68741841744900 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 184 + 1 + 7 + 449 + 0 + 0 = 666.

68741841744900 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1607940658116 + 67133901086784 = 1268046^2 + 8193528^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 12685334391 + ... + 12685339809.

Almost surely, 2^{68741841744900} is an apocalyptic number.

68741841744900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

68741841744900 is the 8291070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68741841744900

68741841744900 is an abundant number, since it is smaller than the sum of its proper divisors (168014669627019).

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

68741841744900 is an equidigital number, since it uses as much as digits as its factorization.

68741841744900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10898 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 68741841744900 in words is "sixty-eight trillion, seven hundred forty-one billion, eight hundred forty-one million, seven hundred forty-four thousand, nine hundred".