961842962880 has 560 divisors, whose sum is σ = 3549363935040. Its totient is φ = 246951936000.

The previous prime is 961842962867. The next prime is 961842962887. The reversal of 961842962880 is 88269248169.

961842962880 is a `hidden beast` number, since 9 + 61 + 8 + 4 + 296 + 288 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961842962887) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 301422085 + ... + 301425275.

It is an arithmetic number, because the mean of its divisors is an integer number (6338149884).

Almost surely, 2^961842962880 is an apocalyptic number.

961842962880 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 961842962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774681967520).

961842962880 is an abundant number, since it is smaller than the sum of its proper divisors (2587520972160).

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

961842962880 is a wasteful number, since it uses less digits than its factorization.

961842962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3650 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 961842962880 in words is "nine hundred sixty-one billion, eight hundred forty-two million, nine hundred sixty-two thousand, eight hundred eighty".