6887010060 has 288 divisors, whose sum is σ = 25157164032. Its totient is φ = 1490987520.

The previous prime is 6887010043. The next prime is 6887010061. The reversal of 6887010060 is 600107886.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6887009997 and 6887010024.

It is not an unprimeable number, because it can be changed into a prime (6887010061) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3099750 + ... + 3101970.

It is an arithmetic number, because the mean of its divisors is an integer number (87351264).

Almost surely, 2^6887010060 is an apocalyptic number.

6887010060 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 6887010060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12578582016).

6887010060 is an abundant number, since it is smaller than the sum of its proper divisors (18270153972).

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

6887010060 is a wasteful number, since it uses less digits than its factorization.

6887010060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6887010060 is about 82988.0115438369. The cubic root of 6887010060 is about 1902.5828271553.

The spelling of 6887010060 in words is "six billion, eight hundred eighty-seven million, ten thousand, sixty".