24242379793664 has 144 divisors (see below), whose sum is σ = 52314418235520. Its totient is φ = 11177394708480.

The previous prime is 24242379793657. The next prime is 24242379793669. The reversal of 24242379793664 is 46639797324242.

It is a junction number, because it is equal to n+sod(n) for n = 24242379793594 and 24242379793603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24242379793669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112759679 + ... + 112974465.

It is an arithmetic number, because the mean of its divisors is an integer number (363294571080).

Almost surely, 2^{24242379793664} 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 24242379793664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26157209117760).

24242379793664 is an abundant number, since it is smaller than the sum of its proper divisors (28072038441856).

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

24242379793664 is a wasteful number, since it uses less digits than its factorization.

24242379793664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215516 (or 215502 counting only the distinct ones).

The product of its digits is 658409472, while the sum is 68.

The spelling of 24242379793664 in words is "twenty-four trillion, two hundred forty-two billion, three hundred seventy-nine million, seven hundred ninety-three thousand, six hundred sixty-four".