6787085760 has 1344 divisors, whose sum is σ = 31952793600. Its totient is φ = 1281982464.

The previous prime is 6787085749. The next prime is 6787085777. The reversal of 6787085760 is 675807876.

6787085760 is a `hidden beast` number, since 67 + 8 + 7 + 0 + 8 + 576 + 0 = 666.

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

It is a super-2 number, since 2×6787085760² = 92129066227189555200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6787085697 and 6787085706.

It is a congruent number.

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, 144406057 + ... + 144406103.

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

Almost surely, 2^6787085760 is an apocalyptic number.

6787085760 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 6787085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15976396800).

6787085760 is an abundant number, since it is smaller than the sum of its proper divisors (25165707840).

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

6787085760 is a wasteful number, since it uses less digits than its factorization.

6787085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The square root of 6787085760 is about 82383.7712173945. The cubic root of 6787085760 is about 1893.3363761550.

The spelling of 6787085760 in words is "six billion, seven hundred eighty-seven million, eighty-five thousand, seven hundred sixty".