7964165664 has 288 divisors, whose sum is σ = 28017400320. Its totient is φ = 2089691136.

The previous prime is 7964165659. The next prime is 7964165707. The reversal of 7964165664 is 4665614697.

7964165664 is a `hidden beast` number, since 7 + 9 + 64 + 16 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 7964165664.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6000969 + ... + 6002295.

It is an arithmetic number, because the mean of its divisors is an integer number (97282640).

Almost surely, 2^7964165664 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 7964165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14008700160).

7964165664 is an abundant number, since it is smaller than the sum of its proper divisors (20053234656).

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

7964165664 is a wasteful number, since it uses less digits than its factorization.

7964165664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1581 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 7964165664 is about 89242.1742451404. The cubic root of 7964165664 is about 1997.0093355254.

The spelling of 7964165664 in words is "seven billion, nine hundred sixty-four million, one hundred sixty-five thousand, six hundred sixty-four".