6288986880 has 576 divisors, whose sum is σ = 24794864640. Its totient is φ = 1496678400.

The previous prime is 6288986839. The next prime is 6288986881. The reversal of 6288986880 is 886898826.

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

It is not an unprimeable number, because it can be changed into a prime (6288986881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26991244 + ... + 26991476.

It is an arithmetic number, because the mean of its divisors is an integer number (43046640).

Almost surely, 2^6288986880 is an apocalyptic number.

6288986880 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 6288986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12397432320).

6288986880 is an abundant number, since it is smaller than the sum of its proper divisors (18505877760).

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

6288986880 is a wasteful number, since it uses less digits than its factorization.

6288986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 63.

The square root of 6288986880 is about 79303.1328511049. The cubic root of 6288986880 is about 1845.8379167078.

It can be divided in two parts, 62889 and 86880, that added together give a square (149769 = 387²).

The spelling of 6288986880 in words is "six billion, two hundred eighty-eight million, nine hundred eighty-six thousand, eight hundred eighty".