8241704640 has 672 divisors, whose sum is σ = 32804868096. Its totient is φ = 1955819520.

The previous prime is 8241704617. The next prime is 8241704683. The reversal of 8241704640 is 464071428.

8241704640 is a `hidden beast` number, since 8 + 2 + 4 + 1 + 7 + 0 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8241704595 and 8241704604.

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 95 ways as a sum of consecutive naturals, for example, 31337149 + ... + 31337411.

It is an arithmetic number, because the mean of its divisors is an integer number (48816768).

Almost surely, 2^8241704640 is an apocalyptic number.

8241704640 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 8241704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16402434048).

8241704640 is an abundant number, since it is smaller than the sum of its proper divisors (24563163456).

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

8241704640 is a wasteful number, since it uses less digits than its factorization.

8241704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8241704640 is about 90783.8346843754. The cubic root of 8241704640 is about 2019.9425399464.

The spelling of 8241704640 in words is "eight billion, two hundred forty-one million, seven hundred four thousand, six hundred forty".