8682732074016 has 1728 divisors, whose sum is σ = 35243013012480. Its totient is φ = 2041233592320.

The previous prime is 8682732074011. The next prime is 8682732074017. The reversal of 8682732074016 is 6104702372868.

8682732074016 is a `hidden beast` number, since 8 + 6 + 8 + 27 + 3 + 207 + 401 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8682732074011) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5363020855 + ... + 5363022473.

It is an arithmetic number, because the mean of its divisors is an integer number (20395262160).

Almost surely, 2^{8682732074016} 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 8682732074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17621506506240).

8682732074016 is an abundant number, since it is smaller than the sum of its proper divisors (26560280938464).

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

8682732074016 is a wasteful number, since it uses less digits than its factorization.

8682732074016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 8682732074016 in words is "eight trillion, six hundred eighty-two billion, seven hundred thirty-two million, seventy-four thousand, sixteen".