499680816768 has 384 divisors, whose sum is σ = 1708923340800. Its totient is φ = 137116385280.

The previous prime is 499680816763. The next prime is 499680816779. The reversal of 499680816768 is 867618086994.

499680816768 is a `hidden beast` number, since 499 + 68 + 0 + 8 + 1 + 6 + 76 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-4 number, since 4×499680816768⁴ (a number of 48 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 499680816696 and 499680816705.

It is not an unprimeable number, because it can be changed into a prime (499680816763) 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 47 ways as a sum of consecutive naturals, for example, 45128673 + ... + 45139743.

It is an arithmetic number, because the mean of its divisors is an integer number (4450321200).

Almost surely, 2^499680816768 is an apocalyptic number.

499680816768 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 499680816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854461670400).

499680816768 is an abundant number, since it is smaller than the sum of its proper divisors (1209242524032).

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

499680816768 is a wasteful number, since it uses less digits than its factorization.

499680816768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11320 (or 11305 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 499680816768 in words is "four hundred ninety-nine billion, six hundred eighty million, eight hundred sixteen thousand, seven hundred sixty-eight".