6738890256 has 200 divisors, whose sum is σ = 22469990400. Its totient is φ = 1909910016.

The previous prime is 6738890231. The next prime is 6738890273. The reversal of 6738890256 is 6520988376.

It is a happy number.

6738890256 is a `hidden beast` number, since 6 + 7 + 388 + 9 + 0 + 256 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1149220 + ... + 1155068.

It is an arithmetic number, because the mean of its divisors is an integer number (112349952).

Almost surely, 2^6738890256 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 6738890256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11234995200).

6738890256 is an abundant number, since it is smaller than the sum of its proper divisors (15731100144).

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

6738890256 is a wasteful number, since it uses less digits than its factorization.

6738890256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003 (or 5988 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 6738890256 is about 82090.7440336607. The cubic root of 6738890256 is about 1888.8441610098.

The spelling of 6738890256 in words is "six billion, seven hundred thirty-eight million, eight hundred ninety thousand, two hundred fifty-six".