496580716800 has 3456 divisors, whose sum is σ = 2452643020800. Its totient is φ = 95551488000.

The previous prime is 496580716789. The next prime is 496580716937. The reversal of 496580716800 is 8617085694.

496580716800 is a `hidden beast` number, since 49 + 6 + 580 + 7 + 16 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12111724780 + ... + 12111724820.

It is an arithmetic number, because the mean of its divisors is an integer number (709676800).

Almost surely, 2^496580716800 is an apocalyptic number.

496580716800 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 496580716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226321510400).

496580716800 is an abundant number, since it is smaller than the sum of its proper divisors (1956062304000).

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

496580716800 is a wasteful number, since it uses less digits than its factorization.

496580716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 496580716800 in words is "four hundred ninety-six billion, five hundred eighty million, seven hundred sixteen thousand, eight hundred".