996795362304000 has 6272 divisors, whose sum is σ = 4625924325984000. Its totient is φ = 213500244787200.

The previous prime is 996795362303977. The next prime is 996795362304013. The reversal of 996795362304000 is 403263597699.

996795362304000 is a `hidden beast` number, since 9 + 9 + 6 + 79 + 536 + 23 + 0 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6272).

It is a super-3 number, since 3×996795362304000³ (a number of 46 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 447 ways as a sum of consecutive naturals, for example, 4352818175886 + ... + 4352818176114.

Almost surely, 2^{996795362304000} is an apocalyptic number.

996795362304000 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 996795362304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312962162992000).

996795362304000 is an abundant number, since it is smaller than the sum of its proper divisors (3629128963680000).

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

996795362304000 is an frugal number, since it uses more digits than its factorization.

996795362304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 996795362304000 in words is "nine hundred ninety-six trillion, seven hundred ninety-five billion, three hundred sixty-two million, three hundred four thousand".