242675673408 has 560 divisors, whose sum is σ = 858484708224. Its totient is φ = 66333634560.

The previous prime is 242675673407. The next prime is 242675673433. The reversal of 242675673408 is 804376576242.

242675673408 is a `hidden beast` number, since 2 + 42 + 6 + 7 + 567 + 34 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242675673407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81900535 + ... + 81903497.

Almost surely, 2^242675673408 is an apocalyptic number.

242675673408 is a gapful number since it is divisible by the number (28) 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 242675673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429242354112).

242675673408 is an abundant number, since it is smaller than the sum of its proper divisors (615809034816).

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

242675673408 is a wasteful number, since it uses less digits than its factorization.

242675673408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 242675673408 in words is "two hundred forty-two billion, six hundred seventy-five million, six hundred seventy-three thousand, four hundred eight".