996561684000 has 768 divisors, whose sum is σ = 3816880704000. Its totient is φ = 252190310400.

The previous prime is 996561683983. The next prime is 996561684023. The reversal of 996561684000 is 486165699.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 184785304 + ... + 184790696.

It is an arithmetic number, because the mean of its divisors is an integer number (4969896750).

Almost surely, 2^996561684000 is an apocalyptic number.

996561684000 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 996561684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908440352000).

996561684000 is an abundant number, since it is smaller than the sum of its proper divisors (2820319020000).

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

996561684000 is a wasteful number, since it uses less digits than its factorization.

996561684000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5515 (or 5491 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 996561684000 in words is "nine hundred ninety-six billion, five hundred sixty-one million, six hundred eighty-four thousand".