896283696672 has 1152 divisors, whose sum is σ = 3390266880000. Its totient is φ = 218215710720.

The previous prime is 896283696667. The next prime is 896283696713. The reversal of 896283696672 is 276696382698.

896283696672 is a `hidden beast` number, since 89 + 62 + 8 + 369 + 66 + 72 = 666.

896283696672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 896283696672.

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, 2568147954 + ... + 2568148302.

It is an arithmetic number, because the mean of its divisors is an integer number (2942940000).

Almost surely, 2^896283696672 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 896283696672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695133440000).

896283696672 is an abundant number, since it is smaller than the sum of its proper divisors (2493983183328).

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

896283696672 is a wasteful number, since it uses less digits than its factorization.

896283696672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 896283696672 in words is "eight hundred ninety-six billion, two hundred eighty-three million, six hundred ninety-six thousand, six hundred seventy-two".