996727680000 has 2640 divisors, whose sum is σ = 4399385870880. Its totient is φ = 222953472000.

The previous prime is 996727679977. The next prime is 996727680019. The reversal of 996727680000 is 86727699.

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 239 ways as a sum of consecutive naturals, for example, 34369919986 + ... + 34369920014.

It is an arithmetic number, because the mean of its divisors is an integer number (1666434042).

Almost surely, 2^996727680000 is an apocalyptic number.

996727680000 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 996727680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199692935440).

996727680000 is an abundant number, since it is smaller than the sum of its proper divisors (3402658190880).

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

996727680000 is a wasteful number, since it uses less digits than its factorization.

996727680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 996727680000 in words is "nine hundred ninety-six billion, seven hundred twenty-seven million, six hundred eighty thousand".