242795170471680 has 1728 divisors, whose sum is σ = 927046316851200. Its totient is φ = 58439170621440.

The previous prime is 242795170471669. The next prime is 242795170471691. The reversal of 242795170471680 is 86174071597242.

242795170471680 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 95 + 1 + 70 + 471 + 6 + 8 + 0 = 666.

242795170471680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242795170471669) and next prime (242795170471691).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 119780546827 + ... + 119780548853.

Almost surely, 2^{242795170471680} is an apocalyptic number.

242795170471680 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 242795170471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463523158425600).

242795170471680 is an abundant number, since it is smaller than the sum of its proper divisors (684251146379520).

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

242795170471680 is a wasteful number, since it uses less digits than its factorization.

242795170471680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 242795170471680 in words is "two hundred forty-two trillion, seven hundred ninety-five billion, one hundred seventy million, four hundred seventy-one thousand, six hundred eighty".