8039966480640 has 1440 divisors, whose sum is σ = 31520395146240. Its totient is φ = 1951280824320.

The previous prime is 8039966480639. The next prime is 8039966480647. The reversal of 8039966480640 is 460846699308.

8039966480640 is a `hidden beast` number, since 8 + 0 + 3 + 9 + 96 + 6 + 480 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×8039966480640² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8039966480647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 58685886652 + ... + 58685886788.

It is an arithmetic number, because the mean of its divisors is an integer number (21889163296).

Almost surely, 2^{8039966480640} is an apocalyptic number.

8039966480640 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 8039966480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15760197573120).

8039966480640 is an abundant number, since it is smaller than the sum of its proper divisors (23480428665600).

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

8039966480640 is an equidigital number, since it uses as much as digits as its factorization.

8039966480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 8039966480640 in words is "eight trillion, thirty-nine billion, nine hundred sixty-six million, four hundred eighty thousand, six hundred forty".