242637785076960 has 1536 divisors, whose sum is σ = 1107148447641600. Its totient is φ = 48162621358080.

The previous prime is 242637785076899. The next prime is 242637785076989. The reversal of 242637785076960 is 69670587736242.

242637785076960 is a `hidden beast` number, since 2 + 4 + 26 + 3 + 7 + 7 + 8 + 507 + 6 + 96 + 0 = 666.

242637785076960 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 255 ways as a sum of consecutive naturals, for example, 20323118671 + ... + 20323130609.

It is an arithmetic number, because the mean of its divisors is an integer number (720799770600).

Almost surely, 2^{242637785076960} is an apocalyptic number.

242637785076960 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 242637785076960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553574223820800).

242637785076960 is an abundant number, since it is smaller than the sum of its proper divisors (864510662564640).

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

242637785076960 is a wasteful number, since it uses less digits than its factorization.

242637785076960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15041 (or 15027 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 242637785076960 in words is "two hundred forty-two trillion, six hundred thirty-seven billion, seven hundred eighty-five million, seventy-six thousand, nine hundred sixty".