242677906810368 has 480 divisors, whose sum is σ = 703698493449600. Its totient is φ = 74110136647680.

The previous prime is 242677906810351. The next prime is 242677906810379. The reversal of 242677906810368 is 863018609776242.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 60382657063 + ... + 60382661081.

It is an arithmetic number, because the mean of its divisors is an integer number (1466038528020).

Almost surely, 2^{242677906810368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242677906810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351849246724800).

242677906810368 is an abundant number, since it is smaller than the sum of its proper divisors (461020586639232).

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

242677906810368 is a wasteful number, since it uses less digits than its factorization.

242677906810368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 6227 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 69.

The spelling of 242677906810368 in words is "two hundred forty-two trillion, six hundred seventy-seven billion, nine hundred six million, eight hundred ten thousand, three hundred sixty-eight".