6886010880 has 520 divisors, whose sum is σ = 28258556832. Its totient is φ = 1571291136.

The previous prime is 6886010869. The next prime is 6886010893. The reversal of 6886010880 is 880106886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11611864 + ... + 11612456.

Almost surely, 2^6886010880 is an apocalyptic number.

6886010880 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 6886010880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14129278416).

6886010880 is an abundant number, since it is smaller than the sum of its proper divisors (21372545952).

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

6886010880 is an equidigital number, since it uses as much as digits as its factorization.

6886010880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 6886010880 is about 82981.9912993175. The cubic root of 6886010880 is about 1902.4908126413.

The spelling of 6886010880 in words is "six billion, eight hundred eighty-six million, ten thousand, eight hundred eighty".