964897648565760 has 2880 divisors, whose sum is σ = 4406287146573312. Its totient is φ = 200538733215744.

The previous prime is 964897648565717. The next prime is 964897648565791. The reversal of 964897648565760 is 67565846798469.

964897648565760 is a `hidden beast` number, since 9 + 6 + 4 + 8 + 9 + 7 + 6 + 485 + 65 + 7 + 60 = 666.

964897648565760 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 (2880).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26549734149 + ... + 26549770491.

Almost surely, 2^{964897648565760} is an apocalyptic number.

964897648565760 is a gapful number since it is divisible by the number (90) 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 964897648565760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203143573286656).

964897648565760 is an abundant number, since it is smaller than the sum of its proper divisors (3441389498007552).

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

964897648565760 is a wasteful number, since it uses less digits than its factorization.

964897648565760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36475 (or 36440 counting only the distinct ones).

The product of its (nonzero) digits is 131681894400, while the sum is 90.

The spelling of 964897648565760 in words is "nine hundred sixty-four trillion, eight hundred ninety-seven billion, six hundred forty-eight million, five hundred sixty-five thousand, seven hundred sixty".