894672008640 has 560 divisors, whose sum is σ = 3245385005280. Its totient is φ = 233892126720.

The previous prime is 894672008603. The next prime is 894672008647. The reversal of 894672008640 is 46800276498.

894672008640 is a `hidden beast` number, since 89 + 467 + 20 + 0 + 86 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (894672008647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 599243734 + ... + 599245226.

Almost surely, 2^894672008640 is an apocalyptic number.

894672008640 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 894672008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622692502640).

894672008640 is an abundant number, since it is smaller than the sum of its proper divisors (2350712996640).

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

894672008640 is a wasteful number, since it uses less digits than its factorization.

894672008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 894672008640 in words is "eight hundred ninety-four billion, six hundred seventy-two million, eight thousand, six hundred forty".