889646343768 has 768 divisors, whose sum is σ = 3275543577600. Its totient is φ = 221298739200.

The previous prime is 889646343689. The next prime is 889646343797. The reversal of 889646343768 is 867343646988.

889646343768 is a `hidden beast` number, since 8 + 8 + 96 + 46 + 3 + 437 + 68 = 666.

889646343768 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 junction number, because it is equal to n+sod(n) for n = 889646343696 and 889646343705.

It is a congruent number.

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, 231015043 + ... + 231018893.

It is an arithmetic number, because the mean of its divisors is an integer number (4265030700).

Almost surely, 2^889646343768 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 889646343768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637771788800).

889646343768 is an abundant number, since it is smaller than the sum of its proper divisors (2385897233832).

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

889646343768 is a wasteful number, since it uses less digits than its factorization.

889646343768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3989 (or 3972 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 889646343768 in words is "eight hundred eighty-nine billion, six hundred forty-six million, three hundred forty-three thousand, seven hundred sixty-eight".