496767796992 has 144 divisors (see below), whose sum is σ = 1470568718080. Its totient is φ = 165415799808.

The previous prime is 496767796991. The next prime is 496767796999. The reversal of 496767796992 is 299697767694.

496767796992 is a `hidden beast` number, since 496 + 7 + 67 + 7 + 9 + 69 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496767796991) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6646743 + ... + 6721065.

Almost surely, 2^496767796992 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 496767796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735284359040).

496767796992 is an abundant number, since it is smaller than the sum of its proper divisors (973800921088).

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

496767796992 is an equidigital number, since it uses as much as digits as its factorization.

496767796992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75315 (or 75295 counting only the distinct ones).

The product of its digits is 3888730944, while the sum is 81.

The spelling of 496767796992 in words is "four hundred ninety-six billion, seven hundred sixty-seven million, seven hundred ninety-six thousand, nine hundred ninety-two".