497496729600 has 2304 divisors, whose sum is σ = 2183860224000. Its totient is φ = 109884211200.

The previous prime is 497496729599. The next prime is 497496729607. The reversal of 497496729600 is 6927694794.

497496729600 is a `hidden beast` number, since 497 + 4 + 9 + 67 + 29 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is not an unprimeable number, because it can be changed into a prime (497496729607) 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 191 ways as a sum of consecutive naturals, for example, 10585036777 + ... + 10585036823.

It is an arithmetic number, because the mean of its divisors is an integer number (947856000).

Almost surely, 2^497496729600 is an apocalyptic number.

497496729600 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 497496729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091930112000).

497496729600 is an abundant number, since it is smaller than the sum of its proper divisors (1686363494400).

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

497496729600 is a wasteful number, since it uses less digits than its factorization.

497496729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 497496729600 in words is "four hundred ninety-seven billion, four hundred ninety-six million, seven hundred twenty-nine thousand, six hundred".