8143617664 has 256 divisors, whose sum is σ = 21714739200. Its totient is φ = 2951147520.

The previous prime is 8143617653. The next prime is 8143617731. The reversal of 8143617664 is 4667163418.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6860079 + ... + 6861265.

It is an arithmetic number, because the mean of its divisors is an integer number (84823200).

Almost surely, 2^8143617664 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 8143617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10857369600).

8143617664 is an abundant number, since it is smaller than the sum of its proper divisors (13571121536).

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

8143617664 is a wasteful number, since it uses less digits than its factorization.

8143617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1259 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The square root of 8143617664 is about 90241.9950134083. The cubic root of 8143617664 is about 2011.8972263377.

The spelling of 8143617664 in words is "eight billion, one hundred forty-three million, six hundred seventeen thousand, six hundred sixty-four".