242127768960 has 1152 divisors, whose sum is σ = 1069660650240. Its totient is φ = 49903902720.

The previous prime is 242127768941. The next prime is 242127769003. The reversal of 242127768960 is 69867721242.

242127768960 is a `hidden beast` number, since 2 + 421 + 2 + 77 + 68 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 242127768897 and 242127768906.

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, 518474647 + ... + 518475113.

It is an arithmetic number, because the mean of its divisors is an integer number (928524870).

Almost surely, 2^242127768960 is an apocalyptic number.

242127768960 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 242127768960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534830325120).

242127768960 is an abundant number, since it is smaller than the sum of its proper divisors (827532881280).

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

242127768960 is a wasteful number, since it uses less digits than its factorization.

242127768960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 242127768960 in words is "two hundred forty-two billion, one hundred twenty-seven million, seven hundred sixty-eight thousand, nine hundred sixty".