242843623680 has 1296 divisors, whose sum is σ = 999582716160. Its totient is φ = 49916805120.

The previous prime is 242843623679. The next prime is 242843623691. The reversal of 242843623680 is 86326348242.

It is a happy number.

242843623680 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3073969881 + ... + 3073969959.

It is an arithmetic number, because the mean of its divisors is an integer number (771282960).

Almost surely, 2^242843623680 is an apocalyptic number.

242843623680 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 242843623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499791358080).

242843623680 is an abundant number, since it is smaller than the sum of its proper divisors (756739092480).

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

242843623680 is a wasteful number, since it uses less digits than its factorization.

242843623680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 48.

The spelling of 242843623680 in words is "two hundred forty-two billion, eight hundred forty-three million, six hundred twenty-three thousand, six hundred eighty".