8397656960 has 512 divisors, whose sum is σ = 27072921600. Its totient is φ = 2412748800.

The previous prime is 8397656947. The next prime is 8397656963. The reversal of 8397656960 is 696567938.

It is a self number, because there is not a number n which added to its sum of digits gives 8397656960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8397656963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35136521 + ... + 35136759.

It is an arithmetic number, because the mean of its divisors is an integer number (52876800).

Almost surely, 2^8397656960 is an apocalyptic number.

8397656960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8397656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13536460800).

8397656960 is an abundant number, since it is smaller than the sum of its proper divisors (18675264640).

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

8397656960 is a wasteful number, since it uses less digits than its factorization.

8397656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 59.

The square root of 8397656960 is about 91638.7306764994. The cubic root of 8397656960 is about 2032.6036915046.

The spelling of 8397656960 in words is "eight billion, three hundred ninety-seven million, six hundred fifty-six thousand, nine hundred sixty".