496475080704 has 672 divisors, whose sum is σ = 1629347166720. Its totient is φ = 150493593600.

The previous prime is 496475080691. The next prime is 496475080793. The reversal of 496475080704 is 407080574694.

496475080704 is a `hidden beast` number, since 4 + 9 + 64 + 7 + 508 + 0 + 70 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 786806469 + ... + 786807099.

It is an arithmetic number, because the mean of its divisors is an integer number (2424623760).

Almost surely, 2^496475080704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496475080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814673583360).

496475080704 is an abundant number, since it is smaller than the sum of its proper divisors (1132872086016).

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

496475080704 is an equidigital number, since it uses as much as digits as its factorization.

496475080704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 496475080704 in words is "four hundred ninety-six billion, four hundred seventy-five million, eighty thousand, seven hundred four".