6702256000 has 256 divisors, whose sum is σ = 18393635520. Its totient is φ = 2408448000.

The previous prime is 6702255997. The next prime is 6702256003. The reversal of 6702256000 is 6522076.

It is an interprime number because it is at equal distance from previous prime (6702255997) and next prime (6702256003).

It is a self number, because there is not a number n which added to its sum of digits gives 6702256000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6702256003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19887832 + ... + 19888168.

Almost surely, 2^6702256000 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 6702256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9196817760).

6702256000 is an abundant number, since it is smaller than the sum of its proper divisors (11691379520).

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

6702256000 is a wasteful number, since it uses less digits than its factorization.

6702256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 6702256000 is about 81867.3072721950. The cubic root of 6702256000 is about 1885.4152002810.

Adding to 6702256000 its reverse (6522076), we get a palindrome (6708778076).

The spelling of 6702256000 in words is "six billion, seven hundred two million, two hundred fifty-six thousand".