4306064256 has 192 divisors, whose sum is σ = 13406178240. Its totient is φ = 1318809600.

The previous prime is 4306064197. The next prime is 4306064261. The reversal of 4306064256 is 6524606034.

4306064256 is a `hidden beast` number, since 4 + 3 + 0 + 6 + 0 + 642 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4306064256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4057966 + ... + 4059026.

It is an arithmetic number, because the mean of its divisors is an integer number (69823845).

Almost surely, 2^4306064256 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 4306064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703089120).

4306064256 is an abundant number, since it is smaller than the sum of its proper divisors (9100113984).

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

4306064256 is a wasteful number, since it uses less digits than its factorization.

4306064256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4306064256 is about 65620.6084702055. The cubic root of 4306064256 is about 1626.8974135921.

The spelling of 4306064256 in words is "four billion, three hundred six million, sixty-four thousand, two hundred fifty-six".