242727649164 has 960 divisors, whose sum is σ = 881260756992. Its totient is φ = 56239142400.

The previous prime is 242727649147. The next prime is 242727649169. The reversal of 242727649164 is 461946727242.

242727649164 is a `hidden beast` number, since 2 + 4 + 27 + 2 + 76 + 491 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 242727649164.

It is not an unprimeable number, because it can be changed into a prime (242727649169) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1911241269 + ... + 1911241395.

Almost surely, 2^242727649164 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 242727649164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440630378496).

242727649164 is an abundant number, since it is smaller than the sum of its proper divisors (638533107828).

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

242727649164 is a wasteful number, since it uses less digits than its factorization.

242727649164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 317 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 242727649164 in words is "two hundred forty-two billion, seven hundred twenty-seven million, six hundred forty-nine thousand, one hundred sixty-four".