963434377800960 has 4608 divisors, whose sum is σ = 3983535323873280. Its totient is φ = 195655473561600.

The previous prime is 963434377800959. The next prime is 963434377800971. The reversal of 963434377800960 is 69008773434369.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1086171789637 + ... + 1086171790523.

It is an arithmetic number, because the mean of its divisors is an integer number (864482492160).

Almost surely, 2^{963434377800960} 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 963434377800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991767661936640).

963434377800960 is an abundant number, since it is smaller than the sum of its proper divisors (3020100946072320).

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

963434377800960 is a wasteful number, since it uses less digits than its factorization.

963434377800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 69.

The spelling of 963434377800960 in words is "nine hundred sixty-three trillion, four hundred thirty-four billion, three hundred seventy-seven million, eight hundred thousand, nine hundred sixty".