242818826664960 has 1584 divisors, whose sum is σ = 1075307760386496. Its totient is φ = 51231459115008.

The previous prime is 242818826664949. The next prime is 242818826665007. The reversal of 242818826664960 is 69466628818242.

242818826664960 is digitally balanced in base 2, 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 (72).

It is a congruent number.

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, 3056861404 + ... + 3056940836.

Almost surely, 2^{242818826664960} is an apocalyptic number.

242818826664960 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 242818826664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537653880193248).

242818826664960 is an abundant number, since it is smaller than the sum of its proper divisors (832488933721536).

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

242818826664960 is an frugal number, since it uses more digits than its factorization.

242818826664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79502 (or 79463 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 242818826664960 in words is "two hundred forty-two trillion, eight hundred eighteen billion, eight hundred twenty-six million, six hundred sixty-four thousand, nine hundred sixty".