961832289600 has 3024 divisors, whose sum is σ = 4610947880448. Its totient is φ = 188024094720.

The previous prime is 961832289557. The next prime is 961832289601. The reversal of 961832289600 is 6982238169.

961832289600 is a `hidden beast` number, since 9 + 6 + 1 + 8 + 3 + 2 + 28 + 9 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961832289601) 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 431 ways as a sum of consecutive naturals, for example, 9915796752 + ... + 9915796848.

It is an arithmetic number, because the mean of its divisors is an integer number (1524784352).

Almost surely, 2^961832289600 is an apocalyptic number.

961832289600 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 961832289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305473940224).

961832289600 is an abundant number, since it is smaller than the sum of its proper divisors (3649115590848).

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

961832289600 is a wasteful number, since it uses less digits than its factorization.

961832289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 961832289600 in words is "nine hundred sixty-one billion, eight hundred thirty-two million, two hundred eighty-nine thousand, six hundred".