963916800000 has 1344 divisors, whose sum is σ = 4029960066048. Its totient is φ = 199065600000.

The previous prime is 963916799959. The next prime is 963916800043. The reversal of 963916800000 is 8619369.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5913599919 + ... + 5913600081.

It is an arithmetic number, because the mean of its divisors is an integer number (2998482192).

Almost surely, 2^963916800000 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 963916800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014980033024).

963916800000 is an abundant number, since it is smaller than the sum of its proper divisors (3066043266048).

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

963916800000 is an equidigital number, since it uses as much as digits as its factorization.

963916800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 963916800000 in words is "nine hundred sixty-three billion, nine hundred sixteen million, eight hundred thousand".