242076163648800 has 864 divisors, whose sum is σ = 881170402484736. Its totient is φ = 57638670336000.

The previous prime is 242076163648763. The next prime is 242076163648861. The reversal of 242076163648800 is 8846361670242.

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, 42913693980 + ... + 42913699620.

It is an arithmetic number, because the mean of its divisors is an integer number (1019873151024).

Almost surely, 2^{242076163648800} is an apocalyptic number.

242076163648800 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 242076163648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440585201242368).

242076163648800 is an abundant number, since it is smaller than the sum of its proper divisors (639094238835936).

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

242076163648800 is a wasteful number, since it uses less digits than its factorization.

242076163648800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9134 (or 9108 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 242076163648800 in words is "two hundred forty-two trillion, seventy-six billion, one hundred sixty-three million, six hundred forty-eight thousand, eight hundred".