963913979485440 has 2880 divisors, whose sum is σ = 3849915821875200. Its totient is φ = 229276989849600.

The previous prime is 963913979485439. The next prime is 963913979485477. The reversal of 963913979485440 is 44584979319369.

It is a happy number.

963913979485440 is a `hidden beast` number, since 9 + 6 + 3 + 9 + 1 + 3 + 9 + 7 + 94 + 85 + 440 = 666.

963913979485440 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 (81).

It is a self number, because there is not a number n which added to its sum of digits gives 963913979485440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 869174011606 + ... + 869174012714.

It is an arithmetic number, because the mean of its divisors is an integer number (1336776327040).

Almost surely, 2^{963913979485440} is an apocalyptic number.

963913979485440 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 963913979485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924957910937600).

963913979485440 is an abundant number, since it is smaller than the sum of its proper divisors (2886001842389760).

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

963913979485440 is a wasteful number, since it uses less digits than its factorization.

963913979485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 6348948480, while the sum is 81.

The spelling of 963913979485440 in words is "nine hundred sixty-three trillion, nine hundred thirteen billion, nine hundred seventy-nine million, four hundred eighty-five thousand, four hundred forty".