963280491264 has 1728 divisors, whose sum is σ = 3761083294080. Its totient is φ = 243799621632.

The previous prime is 963280491241. The next prime is 963280491269. The reversal of 963280491264 is 462194082369.

963280491264 is a `hidden beast` number, since 9 + 63 + 280 + 49 + 1 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 963280491264.

It is not an unprimeable number, because it can be changed into a prime (963280491269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13195623132 + ... + 13195623204.

Almost surely, 2^963280491264 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 963280491264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880541647040).

963280491264 is an abundant number, since it is smaller than the sum of its proper divisors (2797802802816).

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

963280491264 is an equidigital number, since it uses as much as digits as its factorization.

963280491264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 963280491264 in words is "nine hundred sixty-three billion, two hundred eighty million, four hundred ninety-one thousand, two hundred sixty-four".