8081374319766 has 384 divisors, whose sum is σ = 21352869457920. Its totient is φ = 2181012480000.

The previous prime is 8081374319737. The next prime is 8081374319789. The reversal of 8081374319766 is 6679134731808.

8081374319766 is a `hidden beast` number, since 8 + 0 + 8 + 137 + 431 + 9 + 7 + 66 = 666.

It is a super-2 number, since 2×8081374319766² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1152338476 + ... + 1152345488.

It is an arithmetic number, because the mean of its divisors is an integer number (55606430880).

Almost surely, 2^{8081374319766} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8081374319766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10676434728960).

8081374319766 is an abundant number, since it is smaller than the sum of its proper divisors (13271495138154).

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

8081374319766 is a wasteful number, since it uses less digits than its factorization.

8081374319766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7364 (or 7361 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 8081374319766 in words is "eight trillion, eighty-one billion, three hundred seventy-four million, three hundred nineteen thousand, seven hundred sixty-six".