961753927680 has 2080 divisors, whose sum is σ = 4443729421824. Its totient is φ = 193396211712.

The previous prime is 961753927679. The next prime is 961753927681. The reversal of 961753927680 is 86729357169.

961753927680 is a `hidden beast` number, since 9 + 6 + 17 + 539 + 2 + 7 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (961753927679) and next prime (961753927681).

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (961753927681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3472035702 + ... + 3472035978.

Almost surely, 2^961753927680 is an apocalyptic number.

961753927680 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 961753927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2221864710912).

961753927680 is an abundant number, since it is smaller than the sum of its proper divisors (3481975494144).

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

961753927680 is a wasteful number, since it uses less digits than its factorization.

961753927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 961753927680 in words is "nine hundred sixty-one billion, seven hundred fifty-three million, nine hundred twenty-seven thousand, six hundred eighty".