496686751680 has 1344 divisors, whose sum is σ = 2017450229760. Its totient is φ = 102896640000.

The previous prime is 496686751577. The next prime is 496686751681. The reversal of 496686751680 is 86157686694.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (496686751681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1978831555 + ... + 1978831805.

It is an arithmetic number, because the mean of its divisors is an integer number (1501079040).

Almost surely, 2^496686751680 is an apocalyptic number.

496686751680 is a gapful number since it is divisible by the number (40) 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 496686751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008725114880).

496686751680 is an abundant number, since it is smaller than the sum of its proper divisors (1520763478080).

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

496686751680 is a wasteful number, since it uses less digits than its factorization.

496686751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 496686751680 in words is "four hundred ninety-six billion, six hundred eighty-six million, seven hundred fifty-one thousand, six hundred eighty".