996503878944 has 1008 divisors, whose sum is σ = 3815064036000. Its totient is φ = 253769822208.

The previous prime is 996503878921. The next prime is 996503878991. The reversal of 996503878944 is 449878305699.

996503878944 is a `hidden beast` number, since 9 + 9 + 6 + 503 + 8 + 78 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 369210907 + ... + 369213605.

It is an arithmetic number, because the mean of its divisors is an integer number (3784785750).

Almost surely, 2^996503878944 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 996503878944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907532018000).

996503878944 is an abundant number, since it is smaller than the sum of its proper divisors (2818560157056).

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

996503878944 is a wasteful number, since it uses less digits than its factorization.

996503878944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 996503878944 in words is "nine hundred ninety-six billion, five hundred three million, eight hundred seventy-eight thousand, nine hundred forty-four".