496665216768 has 216 divisors, whose sum is σ = 1538546394000. Its totient is φ = 141823180800.

The previous prime is 496665216743. The next prime is 496665216791. The reversal of 496665216768 is 867612566694.

It is a junction number, because it is equal to n+sod(n) for n = 496665216699 and 496665216708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103447968 + ... + 103452768.

Almost surely, 2^496665216768 is an apocalyptic number.

496665216768 is a gapful number since it is divisible by the number (48) 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 496665216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769273197000).

496665216768 is an abundant number, since it is smaller than the sum of its proper divisors (1041881177232).

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

496665216768 is a wasteful number, since it uses less digits than its factorization.

496665216768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7583 (or 7562 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 66.

The spelling of 496665216768 in words is "four hundred ninety-six billion, six hundred sixty-five million, two hundred sixteen thousand, seven hundred sixty-eight".