496838684160 has 960 divisors, whose sum is σ = 2210066546688. Its totient is φ = 100260052992.

The previous prime is 496838684131. The next prime is 496838684179. The reversal of 496838684160 is 61486838694.

496838684160 is a `hidden beast` number, since 4 + 96 + 8 + 386 + 8 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 95 ways as a sum of consecutive naturals, for example, 48217569 + ... + 48227871.

Almost surely, 2^496838684160 is an apocalyptic number.

496838684160 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 496838684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105033273344).

496838684160 is an abundant number, since it is smaller than the sum of its proper divisors (1713227862528).

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

496838684160 is a wasteful number, since it uses less digits than its factorization.

496838684160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10375 (or 10356 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 496838684160 in words is "four hundred ninety-six billion, eight hundred thirty-eight million, six hundred eighty-four thousand, one hundred sixty".