6889531264 has 128 divisors (see below), whose sum is σ = 17664768000. Its totient is φ = 2597529600.

The previous prime is 6889531261. The next prime is 6889531267. The reversal of 6889531264 is 4621359886.

It is an interprime number because it is at equal distance from previous prime (6889531261) and next prime (6889531267).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6889531261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294262 + ... + 316810.

It is an arithmetic number, because the mean of its divisors is an integer number (138006000).

Almost surely, 2^6889531264 is an apocalyptic number.

6889531264 is a gapful number since it is divisible by the number (64) 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 6889531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832384000).

6889531264 is an abundant number, since it is smaller than the sum of its proper divisors (10775236736).

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

6889531264 is a wasteful number, since it uses less digits than its factorization.

6889531264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22612 (or 22600 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 52.

The square root of 6889531264 is about 83003.2003238429. The cubic root of 6889531264 is about 1902.8149653484.

The spelling of 6889531264 in words is "six billion, eight hundred eighty-nine million, five hundred thirty-one thousand, two hundred sixty-four".