996768732960 has 3456 divisors, whose sum is σ = 5110021728000. Its totient is φ = 178734366720.

The previous prime is 996768732923. The next prime is 996768732961. The reversal of 996768732960 is 69237867699.

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

It is not an unprimeable number, because it can be changed into a prime (996768732961) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 6689722966 + ... + 6689723114.

It is an arithmetic number, because the mean of its divisors is an integer number (1478594250).

Almost surely, 2^996768732960 is an apocalyptic number.

996768732960 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 996768732960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555010864000).

996768732960 is an abundant number, since it is smaller than the sum of its proper divisors (4113252995040).

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

996768732960 is a wasteful number, since it uses less digits than its factorization.

996768732960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 72.

The spelling of 996768732960 in words is "nine hundred ninety-six billion, seven hundred sixty-eight million, seven hundred thirty-two thousand, nine hundred sixty".