7638656256 has 324 divisors, whose sum is σ = 27953531424. Its totient is φ = 1983744000.

The previous prime is 7638656227. The next prime is 7638656261. The reversal of 7638656256 is 6526568367.

It is a happy number.

7638656256 is a `hidden beast` number, since 7 + 6 + 3 + 8 + 6 + 5 + 625 + 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 35 ways as a sum of consecutive naturals, for example, 1238781 + ... + 1244931.

Almost surely, 2^7638656256 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 7638656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13976765712).

7638656256 is an abundant number, since it is smaller than the sum of its proper divisors (20314875168).

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

7638656256 is a wasteful number, since it uses less digits than its factorization.

7638656256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198 (or 6174 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 7638656256 is about 87399.4064968407. The cubic root of 7638656256 is about 1969.4229249289.

The spelling of 7638656256 in words is "seven billion, six hundred thirty-eight million, six hundred fifty-six thousand, two hundred fifty-six".