8066036287680 has 448 divisors, whose sum is σ = 29483650252800. Its totient is φ = 1830134476800.

The previous prime is 8066036287633. The next prime is 8066036287681. The reversal of 8066036287680 is 867826306608.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (8066036287681) 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 63 ways as a sum of consecutive naturals, for example, 630201921 + ... + 630214719.

Almost surely, 2^{8066036287680} is an apocalyptic number.

8066036287680 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 8066036287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14741825126400).

8066036287680 is an abundant number, since it is smaller than the sum of its proper divisors (21417613965120).

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

8066036287680 is a wasteful number, since it uses less digits than its factorization.

8066036287680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13508 (or 13498 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 8066036287680 in words is "eight trillion, sixty-six billion, thirty-six million, two hundred eighty-seven thousand, six hundred eighty".