848241264640 has 384 divisors, whose sum is σ = 2619424604160. Its totient is φ = 255850905600.

The previous prime is 848241264613. The next prime is 848241264641. The reversal of 848241264640 is 46462142848.

It is not an unprimeable number, because it can be changed into a prime (848241264641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24425529 + ... + 24460231.

It is an arithmetic number, because the mean of its divisors is an integer number (6821418240).

Almost surely, 2^848241264640 is an apocalyptic number.

848241264640 is a gapful number since it is divisible by the number (80) 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 848241264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309712302080).

848241264640 is an abundant number, since it is smaller than the sum of its proper divisors (1771183339520).

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

848241264640 is a wasteful number, since it uses less digits than its factorization.

848241264640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34779 (or 34759 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 49.

The spelling of 848241264640 in words is "eight hundred forty-eight billion, two hundred forty-one million, two hundred sixty-four thousand, six hundred forty".