6889728384 has 576 divisors, whose sum is σ = 26072766720. Its totient is φ = 1706158080.

The previous prime is 6889728359. The next prime is 6889728409. The reversal of 6889728384 is 4838279886.

It is an interprime number because it is at equal distance from previous prime (6889728359) and next prime (6889728409).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22441959 + ... + 22442265.

It is an arithmetic number, because the mean of its divisors is an integer number (45265220).

Almost surely, 2^6889728384 is an apocalyptic number.

6889728384 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 6889728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13036383360).

6889728384 is an abundant number, since it is smaller than the sum of its proper divisors (19183038336).

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

6889728384 is a wasteful number, since it uses less digits than its factorization.

6889728384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 353 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The square root of 6889728384 is about 83004.3877394442. The cubic root of 6889728384 is about 1902.8331126551.

The spelling of 6889728384 in words is "six billion, eight hundred eighty-nine million, seven hundred twenty-eight thousand, three hundred eighty-four".