963227116800 has 756 divisors, whose sum is σ = 3849780632124. Its totient is φ = 237087129600.

The previous prime is 963227116781. The next prime is 963227116867. The reversal of 963227116800 is 8611722369.

963227116800 is a `hidden beast` number, since 9 + 632 + 2 + 7 + 1 + 1 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4958413056 + 958268703744 = 70416^2 + 978912^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 60644860 + ... + 60660740.

Almost surely, 2^963227116800 is an apocalyptic number.

963227116800 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 963227116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924890316062).

963227116800 is an abundant number, since it is smaller than the sum of its proper divisors (2886553515324).

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

963227116800 is a wasteful number, since it uses less digits than its factorization.

963227116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15938 (or 15904 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 963227116800 in words is "nine hundred sixty-three billion, two hundred twenty-seven million, one hundred sixteen thousand, eight hundred".