7843242048000 has 640 divisors, whose sum is σ = 27001492936704. Its totient is φ = 2017787904000.

The previous prime is 7843242047999. The next prime is 7843242048011. The reversal of 7843242048000 is 8402423487.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2101054134 + ... + 2101057866.

Almost surely, 2^{7843242048000} 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 7843242048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13500746468352).

7843242048000 is an abundant number, since it is smaller than the sum of its proper divisors (19158250888704).

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

7843242048000 is a wasteful number, since it uses less digits than its factorization.

7843242048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153 (or 4127 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 42.

The spelling of 7843242048000 in words is "seven trillion, eight hundred forty-three billion, two hundred forty-two million, forty-eight thousand".