996783314042880 has 2592 divisors, whose sum is σ = 4346803216828800. Its totient is φ = 209440707969024.

The previous prime is 996783314042833. The next prime is 996783314042927. The reversal of 996783314042880 is 88240413387699.

996783314042880 is a `hidden beast` number, since 9 + 9 + 6 + 7 + 8 + 331 + 4 + 0 + 4 + 288 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (996783314042833) and next prime (996783314042927).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 996783314042799 and 996783314042808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1348827217551 + ... + 1348827218289.

It is an arithmetic number, because the mean of its divisors is an integer number (1677007413900).

Almost surely, 2^{996783314042880} is an apocalyptic number.

996783314042880 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 996783314042880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2173401608414400).

996783314042880 is an abundant number, since it is smaller than the sum of its proper divisors (3350019902785920).

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

996783314042880 is a wasteful number, since it uses less digits than its factorization.

996783314042880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1128 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 996783314042880 in words is "nine hundred ninety-six trillion, seven hundred eighty-three billion, three hundred fourteen million, forty-two thousand, eight hundred eighty".