8319664640 has 160 divisors (see below), whose sum is σ = 22921747200. Its totient is φ = 2836905984.

The previous prime is 8319664597. The next prime is 8319664643. The reversal of 8319664640 is 464669138.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (8319664643) 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 15 ways as a sum of consecutive naturals, for example, 3564914 + ... + 3567246.

It is an arithmetic number, because the mean of its divisors is an integer number (143260920).

Almost surely, 2^8319664640 is an apocalyptic number.

8319664640 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 8319664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11460873600).

8319664640 is an abundant number, since it is smaller than the sum of its proper divisors (14602082560).

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

8319664640 is a wasteful number, since it uses less digits than its factorization.

8319664640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The square root of 8319664640 is about 91212.1956757977. The cubic root of 8319664640 is about 2026.2915818629.

The spelling of 8319664640 in words is "eight billion, three hundred nineteen million, six hundred sixty-four thousand, six hundred forty".