242209720703664 has 320 divisors, whose sum is σ = 814205617505280. Its totient is φ = 67492016363520.

The previous prime is 242209720703617. The next prime is 242209720703689. The reversal of 242209720703664 is 466307027902242.

242209720703664 is a `hidden beast` number, since 2 + 4 + 2 + 209 + 7 + 2 + 0 + 70 + 366 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 242209720703664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 367034934 + ... + 367694250.

It is an arithmetic number, because the mean of its divisors is an integer number (2544392554704).

Almost surely, 2^{242209720703664} is an apocalyptic number.

242209720703664 is a gapful number since it is divisible by the number (24) 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 242209720703664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407102808752640).

242209720703664 is an abundant number, since it is smaller than the sum of its proper divisors (571995896801616).

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

242209720703664 is a wasteful number, since it uses less digits than its factorization.

242209720703664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662345 (or 662333 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 242209720703664 in words is "two hundred forty-two trillion, two hundred nine billion, seven hundred twenty million, seven hundred three thousand, six hundred sixty-four".