7924241890008 has 192 divisors, whose sum is σ = 22647753273600. Its totient is φ = 2496118705920.

The previous prime is 7924241889983. The next prime is 7924241890021. The reversal of 7924241890008 is 8000981424297.

It is a Cunningham number, because it is equal to 2815003²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 962727253 + ... + 962735483.

It is an arithmetic number, because the mean of its divisors is an integer number (117957048300).

Almost surely, 2^{7924241890008} 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 7924241890008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11323876636800).

7924241890008 is an abundant number, since it is smaller than the sum of its proper divisors (14723511383592).

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

7924241890008 is a wasteful number, since it uses less digits than its factorization.

7924241890008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9942 (or 9935 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 7924241890008 in words is "seven trillion, nine hundred twenty-four billion, two hundred forty-one million, eight hundred ninety thousand, eight".