496843320960 has 768 divisors, whose sum is σ = 2121891932160. Its totient is φ = 108621139968.

The previous prime is 496843320947. The next prime is 496843320997. The reversal of 496843320960 is 69023348694.

496843320960 is a `hidden beast` number, since 49 + 68 + 433 + 20 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 496843320897 and 496843320906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25028799 + ... + 25048641.

It is an arithmetic number, because the mean of its divisors is an integer number (2762880120).

Almost surely, 2^496843320960 is an apocalyptic number.

496843320960 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 496843320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060945966080).

496843320960 is an abundant number, since it is smaller than the sum of its proper divisors (1625048611200).

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

496843320960 is a wasteful number, since it uses less digits than its factorization.

496843320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19907 (or 19883 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 496843320960 in words is "four hundred ninety-six billion, eight hundred forty-three million, three hundred twenty thousand, nine hundred sixty".