8210276064 has 144 divisors (see below), whose sum is σ = 23730256368. Its totient is φ = 2692325376.

The previous prime is 8210276047. The next prime is 8210276083. The reversal of 8210276064 is 4606720128.

8210276064 is a `hidden beast` number, since 8 + 21 + 0 + 27 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 4837264 + ... + 4838960.

It is an arithmetic number, because the mean of its divisors is an integer number (164793447).

Almost surely, 2^8210276064 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 8210276064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11865128184).

8210276064 is an abundant number, since it is smaller than the sum of its proper divisors (15519980304).

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

8210276064 is a wasteful number, since it uses less digits than its factorization.

8210276064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1977 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 8210276064 is about 90610.5736876221. The cubic root of 8210276064 is about 2017.3716808240.

The spelling of 8210276064 in words is "eight billion, two hundred ten million, two hundred seventy-six thousand, sixty-four".