963237381120 has 704 divisors, whose sum is σ = 3960817267200. Its totient is φ = 220150628352.

The previous prime is 963237381109. The next prime is 963237381137. The reversal of 963237381120 is 21183732369.

963237381120 is a `hidden beast` number, since 9 + 632 + 3 + 7 + 3 + 8 + 1 + 1 + 2 + 0 = 666.

It is a super-2 number, since 2×963237381120² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78375936 + ... + 78388224.

Almost surely, 2^963237381120 is an apocalyptic number.

963237381120 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 963237381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980408633600).

963237381120 is an abundant number, since it is smaller than the sum of its proper divisors (2997579886080).

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

963237381120 is an equidigital number, since it uses as much as digits as its factorization.

963237381120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12342 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 963237381120 in words is "nine hundred sixty-three billion, two hundred thirty-seven million, three hundred eighty-one thousand, one hundred twenty".