894361328640 has 1056 divisors, whose sum is σ = 3648907132416. Its totient is φ = 200445788160.

The previous prime is 894361328629. The next prime is 894361328647. The reversal of 894361328640 is 46823163498.

894361328640 is a `hidden beast` number, since 89 + 436 + 13 + 2 + 86 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (894361328647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315692664 + ... + 315695496.

Almost surely, 2^894361328640 is an apocalyptic number.

894361328640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 894361328640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824453566208).

894361328640 is an abundant number, since it is smaller than the sum of its proper divisors (2754545803776).

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

894361328640 is a wasteful number, since it uses less digits than its factorization.

894361328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 894361328640 in words is "eight hundred ninety-four billion, three hundred sixty-one million, three hundred twenty-eight thousand, six hundred forty".