8043960960 has 512 divisors, whose sum is σ = 33000998400. Its totient is φ = 1836380160.

The previous prime is 8043960931. The next prime is 8043960971. The reversal of 8043960960 is 690693408.

8043960960 is a `hidden beast` number, since 8 + 0 + 4 + 39 + 609 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9797350 + ... + 9798170.

It is an arithmetic number, because the mean of its divisors is an integer number (64455075).

Almost surely, 2^8043960960 is an apocalyptic number.

8043960960 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 8043960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16500499200).

8043960960 is an abundant number, since it is smaller than the sum of its proper divisors (24957037440).

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

8043960960 is an frugal number, since it uses more digits than its factorization.

8043960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 8043960960 is about 89688.1316563123. The cubic root of 8043960960 is about 2003.6567234455.

The spelling of 8043960960 in words is "eight billion, forty-three million, nine hundred sixty thousand, nine hundred sixty".