6889106328832 has 576 divisors, whose sum is σ = 17554199040000. Its totient is φ = 2626439675904.

The previous prime is 6889106328791. The next prime is 6889106328901. The reversal of 6889106328832 is 2388236019886.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24343131763 + ... + 24343132045.

It is an arithmetic number, because the mean of its divisors is an integer number (30476040000).

Almost surely, 2^{6889106328832} 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 6889106328832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777099520000).

6889106328832 is an abundant number, since it is smaller than the sum of its proper divisors (10665092711168).

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

6889106328832 is a wasteful number, since it uses less digits than its factorization.

6889106328832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 64.

The spelling of 6889106328832 in words is "six trillion, eight hundred eighty-nine billion, one hundred six million, three hundred twenty-eight thousand, eight hundred thirty-two".