6687495360 has 1344 divisors, whose sum is σ = 31952793600. Its totient is φ = 1242169344.

The previous prime is 6687495359. The next prime is 6687495371. The reversal of 6687495360 is 635947866.

6687495360 is a `hidden beast` number, since 6 + 68 + 7 + 49 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a junction number, because it is equal to n+sod(n) for n = 6687495297 and 6687495306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84651801 + ... + 84651879.

It is an arithmetic number, because the mean of its divisors is an integer number (23774400).

Almost surely, 2^6687495360 is an apocalyptic number.

6687495360 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 6687495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15976396800).

6687495360 is an abundant number, since it is smaller than the sum of its proper divisors (25265298240).

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

6687495360 is a wasteful number, since it uses less digits than its factorization.

6687495360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6687495360 is about 81777.1077991879. The cubic root of 6687495360 is about 1884.0300751146.

The spelling of 6687495360 in words is "six billion, six hundred eighty-seven million, four hundred ninety-five thousand, three hundred sixty".