6785533472256 has 1200 divisors, whose sum is σ = 25799563869552. Its totient is φ = 1755758592000.

The previous prime is 6785533472233. The next prime is 6785533472269. The reversal of 6785533472256 is 6522743355876.

6785533472256 is a `hidden beast` number, since 6 + 7 + 8 + 5 + 533 + 4 + 72 + 25 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6785533472193 and 6785533472202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8963716230 + ... + 8963716986.

Almost surely, 2^{6785533472256} is an apocalyptic number.

6785533472256 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 6785533472256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12899781934776).

6785533472256 is an abundant number, since it is smaller than the sum of its proper divisors (19014030397296).

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

6785533472256 is a wasteful number, since it uses less digits than its factorization.

6785533472256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1181 counting only the distinct ones).

The product of its digits is 254016000, while the sum is 63.

The spelling of 6785533472256 in words is "six trillion, seven hundred eighty-five billion, five hundred thirty-three million, four hundred seventy-two thousand, two hundred fifty-six".