9961366800 has 360 divisors, whose sum is σ = 40496416992. Its totient is φ = 2069760000.

The previous prime is 9961366787. The next prime is 9961366837. The reversal of 9961366800 is 86631699.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9961366800.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 639100 + ... + 654500.

Almost surely, 2^9961366800 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 9961366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20248208496).

9961366800 is an abundant number, since it is smaller than the sum of its proper divisors (30535050192).

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

9961366800 is a wasteful number, since it uses less digits than its factorization.

9961366800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15447 (or 15429 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 9961366800 is about 99806.6470732285. The cubic root of 9961366800 is about 2151.6566859729.

The spelling of 9961366800 in words is "nine billion, nine hundred sixty-one million, three hundred sixty-six thousand, eight hundred".