6736370256 has 360 divisors, whose sum is σ = 24091984800. Its totient is φ = 1737469440.

The previous prime is 6736370237. The next prime is 6736370261. The reversal of 6736370256 is 6520736376.

6736370256 is a `hidden beast` number, since 6 + 7 + 3 + 637 + 0 + 2 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17773875 + ... + 17774253.

It is an arithmetic number, because the mean of its divisors is an integer number (66922180).

Almost surely, 2^6736370256 is an apocalyptic number.

6736370256 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 6736370256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12045992400).

6736370256 is an abundant number, since it is smaller than the sum of its proper divisors (17355614544).

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

6736370256 is a wasteful number, since it uses less digits than its factorization.

6736370256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The square root of 6736370256 is about 82075.3937303989. The cubic root of 6736370256 is about 1888.6086879796.

The spelling of 6736370256 in words is "six billion, seven hundred thirty-six million, three hundred seventy thousand, two hundred fifty-six".