964109664 has 144 divisors (see below), whose sum is σ = 3164458752. Its totient is φ = 272726784.

The previous prime is 964109651. The next prime is 964109683. The reversal of 964109664 is 466901469.

964109664 is a `hidden beast` number, since 96 + 410 + 96 + 64 = 666.

964109664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205327 + ... + 209969.

It is an arithmetic number, because the mean of its divisors is an integer number (21975408).

Almost surely, 2^964109664 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 964109664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582229376).

964109664 is an abundant number, since it is smaller than the sum of its proper divisors (2200349088).

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

964109664 is a wasteful number, since it uses less digits than its factorization.

964109664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4769 (or 4758 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 964109664 is about 31050.1153621045. The cubic root of 964109664 is about 987.8905067513.

The spelling of 964109664 in words is "nine hundred sixty-four million, one hundred nine thousand, six hundred sixty-four".