242476730496 has 3072 divisors, whose sum is σ = 1125218304000. Its totient is φ = 50164531200.

The previous prime is 242476730449. The next prime is 242476730521. The reversal of 242476730496 is 694037674242.

242476730496 is a `hidden beast` number, since 2 + 4 + 247 + 6 + 7 + 304 + 96 = 666.

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 383 ways as a sum of consecutive naturals, for example, 7821830001 + ... + 7821830031.

It is an arithmetic number, because the mean of its divisors is an integer number (366282000).

Almost surely, 2^242476730496 is an apocalyptic number.

242476730496 is a gapful number since it is divisible by the number (26) 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 242476730496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562609152000).

242476730496 is an abundant number, since it is smaller than the sum of its proper divisors (882741573504).

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

242476730496 is a wasteful number, since it uses less digits than its factorization.

242476730496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 242476730496 in words is "two hundred forty-two billion, four hundred seventy-six million, seven hundred thirty thousand, four hundred ninety-six".