891686976768 has 1152 divisors, whose sum is σ = 3309584624640. Its totient is φ = 231022264320.

The previous prime is 891686976757. The next prime is 891686976769. The reversal of 891686976768 is 867679686198.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (891686976769) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4620139680 + ... + 4620139872.

It is an arithmetic number, because the mean of its divisors is an integer number (2872903320).

Almost surely, 2^891686976768 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 891686976768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654792312320).

891686976768 is an abundant number, since it is smaller than the sum of its proper divisors (2417897647872).

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

891686976768 is a wasteful number, since it uses less digits than its factorization.

891686976768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 400 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 81.

The spelling of 891686976768 in words is "eight hundred ninety-one billion, six hundred eighty-six million, nine hundred seventy-six thousand, seven hundred sixty-eight".