9796309160400 has 600 divisors, whose sum is σ = 40240228906944. Its totient is φ = 2235842611200.

The previous prime is 9796309160371. The next prime is 9796309160413. The reversal of 9796309160400 is 40619036979.

9796309160400 is a `hidden beast` number, since 9 + 7 + 96 + 3 + 0 + 91 + 60 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×9796309160400³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 154872780 + ... + 154936020.

Almost surely, 2^{9796309160400} is an apocalyptic number.

9796309160400 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 9796309160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20120114453472).

9796309160400 is an abundant number, since it is smaller than the sum of its proper divisors (30443919746544).

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

9796309160400 is a wasteful number, since it uses less digits than its factorization.

9796309160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63961 (or 63941 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 9796309160400 in words is "nine trillion, seven hundred ninety-six billion, three hundred nine million, one hundred sixty thousand, four hundred".