8212256064 has 112 divisors (see below), whose sum is σ = 24174500800. Its totient is φ = 2733792768.

The previous prime is 8212256051. The next prime is 8212256071. The reversal of 8212256064 is 4606522128.

It is a happy number.

8212256064 is a `hidden beast` number, since 8 + 21 + 2 + 25 + 606 + 4 = 666.

It is a super-2 number, since 2×8212256064² (a number of 21 digits) contains 22 as substring.

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, 1512747 + ... + 1518165.

Almost surely, 2^8212256064 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 8212256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12087250400).

8212256064 is an abundant number, since it is smaller than the sum of its proper divisors (15962244736).

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

8212256064 is a wasteful number, since it uses less digits than its factorization.

8212256064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6317 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8212256064 is about 90621.4989061646. The cubic root of 8212256064 is about 2017.5338383788.

The spelling of 8212256064 in words is "eight billion, two hundred twelve million, two hundred fifty-six thousand, sixty-four".