6887549760 has 448 divisors, whose sum is σ = 27480768000. Its totient is φ = 1452294144.

The previous prime is 6887549743. The next prime is 6887549777. The reversal of 6887549760 is 679457886.

It is an interprime number because it is at equal distance from previous prime (6887549743) and next prime (6887549777).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6887549694 and 6887549703.

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, 4279836 + ... + 4281444.

It is an arithmetic number, because the mean of its divisors is an integer number (61341000).

Almost surely, 2^6887549760 is an apocalyptic number.

6887549760 is a gapful number since it is divisible by the number (60) 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 6887549760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13740384000).

6887549760 is an abundant number, since it is smaller than the sum of its proper divisors (20593218240).

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

6887549760 is a wasteful number, since it uses less digits than its factorization.

6887549760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The square root of 6887549760 is about 82991.2631546237. The cubic root of 6887549760 is about 1902.6325244416.

The spelling of 6887549760 in words is "six billion, eight hundred eighty-seven million, five hundred forty-nine thousand, seven hundred sixty".