961322618880 has 1248 divisors, whose sum is σ = 3775922565120. Its totient is φ = 234770006016.

The previous prime is 961322618873. The next prime is 961322618881. The reversal of 961322618880 is 88816223169.

961322618880 is a `hidden beast` number, since 9 + 6 + 13 + 2 + 2 + 618 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is not an unprimeable number, because it can be changed into a prime (961322618881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7569469377 + ... + 7569469503.

Almost surely, 2^961322618880 is an apocalyptic number.

961322618880 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 961322618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887961282560).

961322618880 is an abundant number, since it is smaller than the sum of its proper divisors (2814599946240).

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

961322618880 is an equidigital number, since it uses as much as digits as its factorization.

961322618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 961322618880 in words is "nine hundred sixty-one billion, three hundred twenty-two million, six hundred eighteen thousand, eight hundred eighty".