965937627648 has 480 divisors, whose sum is σ = 3232001710080. Its totient is φ = 272026460160.

The previous prime is 965937627643. The next prime is 965937627661. The reversal of 965937627648 is 846726739569.

965937627648 is a `hidden beast` number, since 9 + 6 + 593 + 7 + 6 + 27 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (965937627643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824882103 + ... + 824883273.

It is an arithmetic number, because the mean of its divisors is an integer number (6733336896).

Almost surely, 2^965937627648 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 965937627648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616000855040).

965937627648 is an abundant number, since it is smaller than the sum of its proper divisors (2266064082432).

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

965937627648 is a wasteful number, since it uses less digits than its factorization.

965937627648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1529 counting only the distinct ones).

The product of its digits is 823011840, while the sum is 72.

The spelling of 965937627648 in words is "nine hundred sixty-five billion, nine hundred thirty-seven million, six hundred twenty-seven thousand, six hundred forty-eight".