496084347360 has 288 divisors, whose sum is σ = 1936022280192. Its totient is φ = 113314913280.

The previous prime is 496084347337. The next prime is 496084347371. The reversal of 496084347360 is 63743480694.

496084347360 is a `hidden beast` number, since 4 + 96 + 0 + 84 + 3 + 473 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 496084347297 and 496084347306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15820017 + ... + 15851343.

It is an arithmetic number, because the mean of its divisors is an integer number (6722299584).

Almost surely, 2^496084347360 is an apocalyptic number.

496084347360 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 496084347360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968011140096).

496084347360 is an abundant number, since it is smaller than the sum of its proper divisors (1439937932832).

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

496084347360 is a wasteful number, since it uses less digits than its factorization.

496084347360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32926 (or 32915 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 496084347360 in words is "four hundred ninety-six billion, eighty-four million, three hundred forty-seven thousand, three hundred sixty".