8395210656 has 192 divisors, whose sum is σ = 28331170560. Its totient is φ = 2398491648.

The previous prime is 8395210643. The next prime is 8395210697. The reversal of 8395210656 is 6560125938.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481320 + ... + 498456.

It is an arithmetic number, because the mean of its divisors is an integer number (147558180).

Almost surely, 2^8395210656 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 8395210656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14165585280).

8395210656 is an abundant number, since it is smaller than the sum of its proper divisors (19935959904).

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

8395210656 is an equidigital number, since it uses as much as digits as its factorization.

8395210656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17175 (or 17149 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 8395210656 is about 91625.3821601853. The cubic root of 8395210656 is about 2032.4063011502.

The spelling of 8395210656 in words is "eight billion, three hundred ninety-five million, two hundred ten thousand, six hundred fifty-six".