8210703125664 has 72 divisors (see below), whose sum is σ = 25145278333812. Its totient is φ = 2526370191360.

The previous prime is 8210703125609. The next prime is 8210703125689. The reversal of 8210703125664 is 4665213070128.

8210703125664 is a `hidden beast` number, since 8 + 2 + 1 + 0 + 70 + 3 + 12 + 566 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8024234613264 + 186468512400 = 2832708^2 + 431820^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1096511097 + ... + 1096518584.

Almost surely, 2^{8210703125664} is an apocalyptic number.

It is an amenable number.

8210703125664 is an abundant number, since it is smaller than the sum of its proper divisors (16934575208148).

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

8210703125664 is a wasteful number, since it uses less digits than its factorization.

8210703125664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193029710 (or 2193029699 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 8210703125664 in words is "eight trillion, two hundred ten billion, seven hundred three million, one hundred twenty-five thousand, six hundred sixty-four".