6785640262656 has 1760 divisors, whose sum is σ = 23574412730880. Its totient is φ = 1932263424000.

The previous prime is 6785640262649. The next prime is 6785640262657. The reversal of 6785640262656 is 6562620465876.

It is a happy number.

6785640262656 is a `hidden beast` number, since 6 + 7 + 8 + 564 + 0 + 2 + 6 + 2 + 65 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6785640262593 and 6785640262602.

It is not an unprimeable number, because it can be changed into a prime (6785640262657) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67184557006 + ... + 67184557106.

It is an arithmetic number, because the mean of its divisors is an integer number (13394552688).

Almost surely, 2^{6785640262656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6785640262656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11787206365440).

6785640262656 is an abundant number, since it is smaller than the sum of its proper divisors (16788772468224).

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

6785640262656 is a wasteful number, since it uses less digits than its factorization.

6785640262656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 6785640262656 in words is "six trillion, seven hundred eighty-five billion, six hundred forty million, two hundred sixty-two thousand, six hundred fifty-six".