6782662656 has 672 divisors, whose sum is σ = 25780809600. Its totient is φ = 1731870720.

The previous prime is 6782662633. The next prime is 6782662673. The reversal of 6782662656 is 6562662876.

It is a happy number.

6782662656 is a `hidden beast` number, since 6 + 7 + 8 + 2 + 6 + 626 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 114960355 + ... + 114960413.

It is an arithmetic number, because the mean of its divisors is an integer number (38364300).

Almost surely, 2^6782662656 is an apocalyptic number.

6782662656 is a gapful number since it is divisible by the number (66) 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 6782662656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12890404800).

6782662656 is an abundant number, since it is smaller than the sum of its proper divisors (18998146944).

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

6782662656 is an equidigital number, since it uses as much as digits as its factorization.

6782662656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 82 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 6782662656 is about 82356.9223320056. The cubic root of 6782662656 is about 1892.9249947050.

The spelling of 6782662656 in words is "six billion, seven hundred eighty-two million, six hundred sixty-two thousand, six hundred fifty-six".