9661410267408 has 300 divisors, whose sum is σ = 31248149393340. Its totient is φ = 2871500378112.

The previous prime is 9661410267367. The next prime is 9661410267409. The reversal of 9661410267408 is 8047620141669.

9661410267408 is a `hidden beast` number, since 9 + 6 + 614 + 10 + 2 + 6 + 7 + 4 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6432675657984 + 3228734609424 = 2536272^2 + 1796868^2 .

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 (9661410267409) 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 59 ways as a sum of consecutive naturals, for example, 7346188 + ... + 8560916.

Almost surely, 2^{9661410267408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9661410267408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624074696670).

9661410267408 is an abundant number, since it is smaller than the sum of its proper divisors (21586739125932).

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

9661410267408 is a wasteful number, since it uses less digits than its factorization.

9661410267408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214804 (or 1214770 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 9661410267408 in words is "nine trillion, six hundred sixty-one billion, four hundred ten million, two hundred sixty-seven thousand, four hundred eight".