8182376489664 has 168 divisors, whose sum is σ = 25269695959872. Its totient is φ = 2516429168640.

The previous prime is 8182376489621. The next prime is 8182376489671. The reversal of 8182376489664 is 4669846732818.

8182376489664 is a `hidden beast` number, since 8 + 1 + 82 + 3 + 7 + 6 + 489 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8182376489592 and 8182376489601.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15182904 + ... + 15712584.

It is an arithmetic number, because the mean of its divisors is an integer number (150414856904).

Almost surely, 2^{8182376489664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8182376489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12634847979936).

8182376489664 is an abundant number, since it is smaller than the sum of its proper divisors (17087319470208).

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

8182376489664 is a wasteful number, since it uses less digits than its factorization.

8182376489664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531775 (or 531762 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 8182376489664 in words is "eight trillion, one hundred eighty-two billion, three hundred seventy-six million, four hundred eighty-nine thousand, six hundred sixty-four".