242524668672 has 864 divisors, whose sum is σ = 862463347200. Its totient is φ = 67005480960.

The previous prime is 242524668667. The next prime is 242524668707. The reversal of 242524668672 is 276866425242.

242524668672 is a `hidden beast` number, since 2 + 42 + 524 + 6 + 6 + 8 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1218716829 + ... + 1218717027.

Almost surely, 2^242524668672 is an apocalyptic number.

242524668672 is a gapful number since it is divisible by the number (22) 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 242524668672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431231673600).

242524668672 is an abundant number, since it is smaller than the sum of its proper divisors (619938678528).

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

242524668672 is a wasteful number, since it uses less digits than its factorization.

242524668672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 365 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 242524668672 in words is "two hundred forty-two billion, five hundred twenty-four million, six hundred sixty-eight thousand, six hundred seventy-two".