8632812000384 has 2048 divisors, whose sum is σ = 33269612544000. Its totient is φ = 2163345408000.

The previous prime is 8632812000349. The next prime is 8632812000413. The reversal of 8632812000384 is 4830002182368.

8632812000384 is a `hidden beast` number, since 8 + 63 + 2 + 8 + 1 + 200 + 0 + 384 = 666.

It is a super-3 number, since 3×8632812000384³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13681159749 + ... + 13681160379.

It is an arithmetic number, because the mean of its divisors is an integer number (16244928000).

Almost surely, 2^{8632812000384} 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 8632812000384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16634806272000).

8632812000384 is an abundant number, since it is smaller than the sum of its proper divisors (24636800543616).

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

8632812000384 is a wasteful number, since it uses less digits than its factorization.

8632812000384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 8632812000384 in words is "eight trillion, six hundred thirty-two billion, eight hundred twelve million, three hundred eighty-four", and thus it is an aban number.