4256216064 has 176 divisors, whose sum is σ = 12675024000. Its totient is φ = 1410859008.

The previous prime is 4256216057. The next prime is 4256216089. The reversal of 4256216064 is 4606126524.

4256216064 is a `hidden beast` number, since 4 + 25 + 6 + 21 + 606 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7105237 + ... + 7105835.

Almost surely, 2^4256216064 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 4256216064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6337512000).

4256216064 is an abundant number, since it is smaller than the sum of its proper divisors (8418807936).

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

4256216064 is a wasteful number, since it uses less digits than its factorization.

4256216064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4256216064 is about 65239.6816669119. The cubic root of 4256216064 is about 1620.5952270886.

The spelling of 4256216064 in words is "four billion, two hundred fifty-six million, two hundred sixteen thousand, sixty-four".