889468772976 has 320 divisors, whose sum is σ = 3135595023360. Its totient is φ = 235614044160.

The previous prime is 889468772911. The next prime is 889468772977. The reversal of 889468772976 is 679277864988.

889468772976 is a `hidden beast` number, since 8 + 89 + 468 + 7 + 7 + 2 + 9 + 76 = 666.

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 = 889468772895 and 889468772904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889468772977) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3315216 + ... + 3573456.

It is an arithmetic number, because the mean of its divisors is an integer number (9798734448).

Almost surely, 2^889468772976 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 889468772976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567797511680).

889468772976 is an abundant number, since it is smaller than the sum of its proper divisors (2246126250384).

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

889468772976 is a wasteful number, since it uses less digits than its factorization.

889468772976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258349 (or 258337 counting only the distinct ones).

The product of its digits is 4096770048, while the sum is 81.

The spelling of 889468772976 in words is "eight hundred eighty-nine billion, four hundred sixty-eight million, seven hundred seventy-two thousand, nine hundred seventy-six".