9641620961280 has 4608 divisors, whose sum is σ = 47432915712000. Its totient is φ = 1831191183360.

The previous prime is 9641620961267. The next prime is 9641620961317. The reversal of 9641620961280 is 821690261469.

9641620961280 is a `hidden beast` number, since 9 + 6 + 4 + 1 + 620 + 9 + 6 + 1 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 99398154192 + ... + 99398154288.

It is an arithmetic number, because the mean of its divisors is an integer number (10293601500).

Almost surely, 2^{9641620961280} is an apocalyptic number.

9641620961280 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 9641620961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23716457856000).

9641620961280 is an abundant number, since it is smaller than the sum of its proper divisors (37791294750720).

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

9641620961280 is a wasteful number, since it uses less digits than its factorization.

9641620961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 177 counting only the distinct ones).

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

The spelling of 9641620961280 in words is "nine trillion, six hundred forty-one billion, six hundred twenty million, nine hundred sixty-one thousand, two hundred eighty".