8461896696 has 288 divisors, whose sum is σ = 27536745600. Its totient is φ = 2321447040.

The previous prime is 8461896593. The next prime is 8461896763. The reversal of 8461896696 is 6966981648.

8461896696 is a `hidden beast` number, since 8 + 4 + 618 + 9 + 6 + 6 + 9 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7959861 + ... + 7960923.

It is an arithmetic number, because the mean of its divisors is an integer number (95613700).

Almost surely, 2^8461896696 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 8461896696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13768372800).

8461896696 is an abundant number, since it is smaller than the sum of its proper divisors (19074848904).

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

8461896696 is a wasteful number, since it uses less digits than its factorization.

8461896696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1121 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The square root of 8461896696 is about 91988.5682897609. The cubic root of 8461896696 is about 2037.7734819826.

The spelling of 8461896696 in words is "eight billion, four hundred sixty-one million, eight hundred ninety-six thousand, six hundred ninety-six".