242627661700 has 72 divisors (see below), whose sum is σ = 532142775752. Its totient is φ = 96012103680.

The previous prime is 242627661659. The next prime is 242627661791. The reversal of 242627661700 is 7166726242.

It can be written as a sum of positive squares in 12 ways, for example, as 46128730176 + 196498931524 = 214776^2 + 443282^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46683502 + ... + 46688698.

Almost surely, 2^242627661700 is an apocalyptic number.

242627661700 is a gapful number since it is divisible by the number (20) 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 242627661700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266071387876).

242627661700 is an abundant number, since it is smaller than the sum of its proper divisors (289515114052).

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

242627661700 is a wasteful number, since it uses less digits than its factorization.

242627661700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10121 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The spelling of 242627661700 in words is "two hundred forty-two billion, six hundred twenty-seven million, six hundred sixty-one thousand, seven hundred".