496975044720 has 1280 divisors, whose sum is σ = 2145051279360. Its totient is φ = 91968307200.

The previous prime is 496975044691. The next prime is 496975044749. The reversal of 496975044720 is 27440579694.

It is an interprime number because it is at equal distance from previous prime (496975044691) and next prime (496975044749).

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 787598805 + ... + 787599435.

It is an arithmetic number, because the mean of its divisors is an integer number (1675821312).

Almost surely, 2^496975044720 is an apocalyptic number.

496975044720 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 496975044720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072525639680).

496975044720 is an abundant number, since it is smaller than the sum of its proper divisors (1648076234640).

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

496975044720 is a wasteful number, since it uses less digits than its factorization.

496975044720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 496975044720 in words is "four hundred ninety-six billion, nine hundred seventy-five million, forty-four thousand, seven hundred twenty".