242672334660 has 576 divisors, whose sum is σ = 919334707200. Its totient is φ = 50556441600.

The previous prime is 242672334649. The next prime is 242672334673. The reversal of 242672334660 is 66433276242.

It is a happy number.

242672334660 is a `hidden beast` number, since 24 + 267 + 23 + 346 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 299225655 + ... + 299226465.

It is an arithmetic number, because the mean of its divisors is an integer number (1596067200).

Almost surely, 2^242672334660 is an apocalyptic number.

242672334660 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 242672334660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459667353600).

242672334660 is an abundant number, since it is smaller than the sum of its proper divisors (676662372540).

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

242672334660 is a wasteful number, since it uses less digits than its factorization.

242672334660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 45.

The spelling of 242672334660 in words is "two hundred forty-two billion, six hundred seventy-two million, three hundred thirty-four thousand, six hundred sixty".