68817028900 has 81 divisors (see below), whose sum is σ = 153694836729. Its totient is φ = 26745068160.

The previous prime is 68817028883. The next prime is 68817028909. The reversal of 68817028900 is 982071886.

The square root of 68817028900 is 262330.

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

It can be written as a sum of positive squares in 13 ways, for example, as 41125406436 + 27691622464 = 202794^2 + 166408^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68817028909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97061746 + ... + 97062454.

Almost surely, 2^68817028900 is an apocalyptic number.

68817028900 is the 262330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68817028900

68817028900 is an abundant number, since it is smaller than the sum of its proper divisors (84877807829).

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

68817028900 is an equidigital number, since it uses as much as digits as its factorization.

68817028900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

Multiplying 68817028900 by its sum of digits (49), we get a square (3372034416100 = 1836310²).

The spelling of 68817028900 in words is "sixty-eight billion, eight hundred seventeen million, twenty-eight thousand, nine hundred".