996769234944 has 512 divisors, whose sum is σ = 3418641139200. Its totient is φ = 284647882752.

The previous prime is 996769234907. The next prime is 996769234949. The reversal of 996769234944 is 449432967699.

996769234944 is a `hidden beast` number, since 9 + 96 + 76 + 92 + 349 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996769234949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501644319 + ... + 501646305.

It is an arithmetic number, because the mean of its divisors is an integer number (6677033475).

Almost surely, 2^996769234944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996769234944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709320569600).

996769234944 is an abundant number, since it is smaller than the sum of its proper divisors (2421871904256).

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

996769234944 is an frugal number, since it uses more digits than its factorization.

996769234944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2045 (or 1999 counting only the distinct ones).

The product of its digits is 634894848, while the sum is 72.

The spelling of 996769234944 in words is "nine hundred ninety-six billion, seven hundred sixty-nine million, two hundred thirty-four thousand, nine hundred forty-four".