963090123264 has 480 divisors, whose sum is σ = 3110050944000. Its totient is φ = 286115659776.

The previous prime is 963090123209. The next prime is 963090123269. The reversal of 963090123264 is 462321090369.

963090123264 is a `hidden beast` number, since 9 + 6 + 309 + 0 + 12 + 326 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (963090123269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 430141857 + ... + 430144095.

It is an arithmetic number, because the mean of its divisors is an integer number (6479272800).

Almost surely, 2^963090123264 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 963090123264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555025472000).

963090123264 is an abundant number, since it is smaller than the sum of its proper divisors (2146960820736).

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

963090123264 is a wasteful number, since it uses less digits than its factorization.

963090123264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 963090123264 in words is "nine hundred sixty-three billion, ninety million, one hundred twenty-three thousand, two hundred sixty-four".